10,000

In mathematics

In scientific notation, it is written as 10⁴ or 1 E+4 (equivalently 1 E4) in E notation. It is the square of 100 and the square root of 100,000,000.

The value of a myriad to the power of itself, 10000¹⁰⁰⁰⁰ = 10⁴⁰⁰⁰⁰.

It has a reduced totient of 500, and a totient of 4,000, with a total of 16 integers having a totient value of 10,000.

There are a total of 1,229 prime numbers less than ten thousand, a count that is itself prime.

A myriagon is a polygon with ten thousand edges and a total of 25 dihedral symmetry groups when including the myriagon itself, alongside 25 cyclic groups as subgroups.

In science

• In astronomy,
  • asteroid Number: 10000 Myriostos, Provisional Designation: 1951 SY, Discovery Date: September 30, 1951, by A. G. Wilson:List of asteroids (9001-10000).
• In climate, Summary of 10000 Years is one of several pages of the Climate Timeline Tool: Exploring Weather & Climate Change Through the Powers of 10 sponsored by the National Climatic Data Center of the National Oceanic & Atmospheric Administration.
• In computing,
  • 65,536 kilobytes in decimal is equal to 10,000 kB in hexadecimal (the equivalent addressing ranges of 0 to 65,535 in decimal are 0 to FFFF in hex).
  • NASA built a 10000-processor Linux computer (it is actually a 10,240-processor) called Columbia.
• In geography,
  • Land of 10000 Lakes is the nickname for the state of Minnesota.
  • Land of 10000 Trails or 10000trails.com is an organization created in 1999 by the TN/KY Lakes Area Coalition and based in West Tennessee and West Kentucky to promote tourism by developing trails in the region.
  • Ten Thousand Islands National Wildlife Refuge is situated in the lower end of the Fakahatchee and Picayune Strands of Big Cypress Swamp and west of Everglades National Park in Florida.
  • Valley of Ten Thousand Smokes in Alaska.
• In physics,
  • Myria- (and myrio-) is an obsolete metric prefix that denoted a factor of 10⁺⁴, ten thousand, or 10,000.
  • 10,000 hertz, 10 kilohertz, or 10 kHz of the radio frequency spectrum falls in the very low frequency or VLF band and has a wavelength of 30 kilometres.
  • In orders of magnitude (speed), the speed of a fast neutron is 10000 km/s.
  • In acoustics, 10,000 hertz, 10 kilohertz, or 10 kHz of a sound signal at sea level has a wavelength of about 34 mm.
  • In music, a 10 kilohertz sound is a E♭₉ in the A440 pitch standard, a bit more than an octave higher in pitch than the highest note on a standard piano.

In time

• 10000 BC, 10000 BCE, or 10th millennium BC.
• 10000-year clock or the Clock of the Long Now is a mechanical clock designed to keep time for 10000 years.

In the arts

Visual media

• 10,000 Black Men Named George, a TV series (2002)
• The Phantom from 10,000 Leagues, a monster film (1956)
• Vietnam: The Ten Thousand Day War, a miniseries (1980)

Bands

• 10,000 Maniacs, an American rock band
• 10,000 Promises., a J-pop group

Albums

• 10,000 Days, by Tool (2006)
• 10,000 Hz Legend, by Air (2001)
• 10,000 Reasons (album) by Matt Redman (2013)
• 10,000 Gecs by 100 gecs (2023)
• Ten Thousand Fists, by Disturbed (2005)

Songs

• "Ten Thousand Men of Harvard", fight song of Harvard University
• "10,000 Reasons (Bless the Lord)" by Matt Redman (2013)
• "Ten Thousand Strong" by Iced Earth (2007)

In other fields

• In currency,
  • A version of Iraq's 10,000 dinar banknote has Abu Ali Hasan Ibn al-Haitham (also known as Alhazen) on the front, and a later issue has sculptor Jawad Saleem's Freedom Monument in Baghdad on the front. Both notes have an image of Mosul's al-Hadba' Minaret on the back. The first issue had an image of former Iraqi president Saddam Hussein and the Spiral Minaret - Al-Minārat Al-Malwiyyah in Samarra.
  • the Japanese ¥10,000 banknote depicts Fukuzawa Yukichi.
  • Kazakhstan's 10,000₸ banknote.
  • the Lebanese £L10,000 banknote depicts Beirut's Martyrs' Square.
  • Myanmar's (Burma's) Ks.10,000/- banknote.
  • the U.S. $10,000 note depicts a picture of Salmon P. Chase.
• In distances,
  • 10 km, 10,000 m, or 1 E+4 m is equal to:
    • 1 Scandinavian mil.
    • about 6.2137 English miles.
    • side of square with area 100 km².
    • radius of a circle with area 100 π km² ≈ 314.159 km².
• In finance, on March 29, 1999, the Dow Jones Industrial Average closed at 10006.78, which was the first time the index closed above the 10,000 mark.
• In futurology, Stewart Brand in Visions of the Future: The 10,000-Year Library proposes a museum built around a 10,000-year clock as an idea for assuring that vital information survives future crashes of civilizations.
• In games,
  • Ten Thousand is one name of a dice game called farkle.
• In game shows, The $10,000 Pyramid ran on television from 1973 to 1974.
• In history,
  • Army of 10,000 Mississippi American Civil War military unit, 1861–1862.
  • The Army of the Ten Thousand were a group of Ancient Greek mercenaries who marched against Artaxerxes II of Persia.
  • The Persian Immortals were also called the Ten Thousand or 10,000 Immortals, so named because their Number of 10,000 was immediately re-established after every loss.
  • The 10,000 Day War: Vietnam by Michael Maclear ISBN 0-312-79094-5 also alternate titles The ten thousand day war: Vietnam, 1945–1975 (10,000 days is 27.4 years).
  • Tomb of Ten Thousand Soldiers – defeat of the Tang dynasty army of China in the Nanzhao kingdom in 751.
  • In Islamic history, 10,000 is the Number of besieging forces led by Muhammad's adversary, Abu Sufyan, during the Battle of the Trench.
  • 10,000 is the number of Muhammad's soldiers during the conquest of Mecca.
• In language,
  • the Chinese, Japanese, Korean, and Vietnamese phrase live for ten thousand years was used to bless emperors in East Asia.
  • Μύριοι is an Ancient Greek name for 10.000 taken into the modern European languages as 'myriad' (see above). Hebrew, Chinese, Japanese, and Korean have words with the same meaning.
• In literature,
  • Man'yōshū (万葉集 Man'yōshū, Collection of Ten Thousand Leaves) is the oldest existing, and most highly revered, collection of Japanese poetry.
  • Ten Thousand a Year 1839 by Samuel Warren.
  • Ten Thousand a Year 1883?. A drama in three acts. Adapted from the celebrated novel of the same name, by the author of the Diary of a Physician, and arranged for the stage by Richard Brinsley Peake.
  • Anabasis, by the Greek writer Xenophon (431–360 B.C.), about the Army of the Ten Thousand – Greek mercenaries taking part in the expedition of Cyrus the Younger, a Persian prince, against his brother, King Artaxerxes II.
  • The Ten Thousand: A Novel of Ancient Greece by Michael Curtis Ford. 2001. ISBN 0-312-26946-3 Historic fiction about the Army of the Ten Thousand.
  • The World of the Ten Thousand Things: Poems 1980–1990 by Charles Wright ISBN 0-374-29293-0 ISBN 0-374-52326-6.
  • Ten Thousand Lovers by Edeet Ravel ISBN 0-06-056562-4.
• In philosophy, Lao Zi writes about ten thousand things in the Tao Te Ching. In Taoism, the "10,000 Things" is a term meaning all of phenomenal reality.
• In piphilology, ten thousand is the current world record for the Number of digits of pi memorized by a human being.
• In psychology, Ten Thousand Dreams Interpreted, or what's in a dream: a scientific and practical, by Miller, Gustavus Hindman (1857–1929). Project Gutenberg.
• In religion,
  • The Bible,
    • has 52 references to ten thousand in the King James Version.
    • Revelation 5:11 And I beheld, and I heard the voice of many angels round about the throne and the beasts and the elders: and the number of them was ten thousand times ten thousand, and thousands of thousands.
  • hymn, Ten thousand times ten thousand.
  • The Ten thousand martyrs.
• In software,
  • The Year 10,000 problem is the collective name for all potential software bugs that will emerge as the need to express years with five digits arises.
• In sports,
  • In athletics, 10,000 meters, 10 kilometers, 10 km, or 10K (6.2 miles) is the final standard track event in a long-distance track event and a distance in other racing events such as running, cycling, and skiing.
  • In bicycle racing, annual Tour of 10,000 Lakes Stage Race in Minneapolis.
  • In baseball, on July 15, 2007, the Philadelphia Phillies became the first team in American professional sports history to lose 10,000 games.

Selected numbers in the range 10001-19999

10001 to 10999

• 10001 = strobogrammatic number
• 10006 = number of unlabelled distributive lattices with 19 nodes.
• 10007 = smallest five-digit prime number, twin prime with 10009
• 10008 = palindromic in bases 5 (310013₅), 22 (KEK₂₂), 28 (CLC₂₈) and 33 (969₃₃) and a Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 10, 13, 14 and 16
• 10009 = twin prime with 10007
• 10018 = centered heptagonal number
• 10080 = 21st highly composite number; number of minutes in a week
• 10101 = strobogrammatic number
• 10111 = palindromic prime in bases 3 (111212111₃) and 27 (DND₂₇)
• 10143 = number of partitions of 33
• 10176 = smallest (provable) generalized Riesel number in base 10: 10176*10ⁿ-1 is always divisible by one of the prime numbers {7, 11, 13, 37}
• 10201 = 101², palindromic square (in the decimal system)
• 10206 = pentagonal pyramidal number
• 10223 = sixth last number to be eliminated (in 2016) by Seventeen or Bust (now a sub-project of PrimeGrid) in the Sierpiński problem
• 10239 = Woodall number
• 10252 = Padovan number
• 10267 = cuban prime
• 10289 = highly cototient number
• 10301 = palindromic prime in bases 10 (10301₁₀), 27 (E3E₂₇), 30 (BDB₃₀) and 44 (5E5₄₄)
• 10333 = star prime, palindromic in bases 9 (15151₉), 31 (ANA₃₁) and 35 (8F8₃₅)
• 10368 = 3-smooth number (2⁷×3⁴)
• 10395 = double factorial of 11
• 10416 = square pyramidal number
• 10425 = octahedral number
• 10430 = weird number
• 10433 = palindromic prime in base 44 (5H5₄₄)
• 10440 = 144th triangular number
• 10499 = twin prime with 10501
• 10500 = Harshad number in bases 2, 3, 4, 6, 7, 8, 9, 10, 11, 15 and 16
• 10501 = palindromic prime in bases 10 (10501₁₀) and 58 (373₅₈)
• 10512 = Harshad number in bases 2, 3, 4, 5, 7, 8, 9, 10, 13 and 16
• 10538 = 10538 Overture is a hit single by Electric Light Orchestra
• 10560 = Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16
• 10570 = weird number
• 10585 = Carmichael number
• 10601 = palindromic prime in bases 10 (10601₁₀) and 30 (BNB₃₀)
• 10609 = 103², tribonacci number
• 10631 = palindromic prime in base 30 (BOB₃₀)
• 10646 = ISO 10646 is the standard for Unicode
• 10648 = 22³, the smallest 5-digit cube
• 10660 = tetrahedral number
• 10671 = tetranacci number
• 10709 = highly cototient number
• 10744 = amicable number with 10856
• 10752 = the second 16-bit word of a TIFF file if the byte order marker is misunderstood
• 10792 = weird number
• 10794 = number of terms of Leibniz formula for pi before "3.1415" shows up for the first time
• 10800 = number of bricks used for the uttaravedi in the Agnicayana ritual
• 10801 = strobogrammatic number
• 10837 = star prime
• 10856 = amicable number with 10744
• 10905 = Wedderburn–Etherington number
• 10919 = highly cototient number
• 10920 = sparsely totient number
• 10922 = repdigit in base 4 (2222222₄), and palindromic in base 8 (25252₈)
• 10946 = Fibonacci number, Markov number
• 10958 = the smallest positive integer that cannot be represented by an equation using increasing order of integers from 1 to 9 and basic arithmetic operations
• 10981 = number of reduced trees with 22 nodes
• 10990 = weird number

11000 to 11999

• 11011 = strobogrammatic number
• 11025 = 105², the sum of the first 14 positive integer cubes
• 11083 = palindromic prime in 2 consecutive bases: 23 (KLK₂₃) and 24 (J5J₂₄)
• 11111 = strobogrammatic number
• 11297 = number of planar partitions of 16
• 11298 = Riordan number
• 11311 = palindromic prime in decimal
• 11340 = Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
• 11353 = star prime
• 11368 = pentagonal pyramidal number
• 11410 = weird number
• 11411 = palindromic prime in decimal
• 11424 = Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
• 11440 = square pyramidal number
• 11480 = tetrahedral number
• 11520 = highly totient number
• 11549 = highly cototient number
• 11550 = sparsely totient number
• 11574 = approximate number of days in a billion seconds
• 11593 = smallest prime to start a run of nine consecutive primes of the form 4k + 1
• 11605 = smallest integer to start a run of five consecutive integers with the same number of divisors
• 11664 = 3-smooth number (2⁴×3⁶).
• 11690 = weird number
• 11717 = twin prime with 11719
• 11719 = cuban prime, twin prime with 11717
• 11726 = octahedral number
• 11781 = triangular number, hexagonal number, octagonal number, and also 58-gonal, 216-gonal, 329-gonal, 787-gonal and 3928-gonal number
• 11811 = strobogrammatic number
• 11826 = smallest number whose square is pandigital without zeros
• 11842 = palindromic in bases 3 (121020121₃), 27 (G6G₂₇) and 34 (A8A₃₄)
• 11953 = palindromic prime in bases 7 (46564₇) and 30 (D8D₃₀)
• 11970 = sparsely totient number

12000 to 12999

• 12000 = 12,000 of each of the twelve tribes of Israel made up the 144,000 servants of God who were 'sealed' according to the Book of Revelation in the New Testament
• 12048 = number of non-isomorphic set-systems of weight 12
• 12097 = cuban prime
• 12101 = Friedman prime
• 12107 = Friedman prime
• 12109 = Friedman prime
• 12110 = weird number
• 12167 = 23³
• 12172 = number of triangle-free graphs on 10 vertices
• 12180 = sparsely totient number
• 12198 = semi-meandric number
• 12251 = number of primes ${\displaystyle \le 2^{17}}$
• 12285 = amicable number with 14595
• 12287 = Thabit number
• 12288 = 3-smooth number (2¹²×3).
• 12289 = Proth prime, Pierpont prime
• 12310 = number of partitions of 34
• 12321 = 111², Demlo number, palindromic square
• 12341 = tetrahedral number
• 12345 = smallest whole number containing all numbers from 1 to 5
• 12390 = sparsely totient number
• 12407 = cited on QI as the smallest uninteresting positive integer regarding arithmetical mathematics
• 12421 = palindromic prime
• 12496 = smallest sociable number
• 12500 = 2²×5⁵
• 12529 = square pyramidal number
• 12530 = weird number
• 12542 = there is a match puzzle called MOST + MOST = TOKYO, where each letter represents a digit. When one solves the puzzle, TOKYO = 12542, as 6271 + 6271 = 12542
• 12670 = weird number
• 12721 = palindromic prime
• 12726 = Ruth–Aaron pair
• 12758 = most significant Number that cannot be expressed as the sum of distinct cubes
• 12765 = Finnish internet meme; the code accompanying no-prize caps in a Coca-Cola bottle top prize contest. Often spelled out yksi – kaksi – seitsemän – kuusi – viisi, ei voittoa, "one – two – seven – six – five, no prize".
• 12769 = 113², palindromic in base 3
• 12821 = palindromic prime

13000 to 13999

• 13122 = 3-smooth number (2×3⁸).
• 13131 = octahedral number
• 13244 = tetrahedral number
• 13267 = cuban prime
• 13331 = palindromic prime
• 13370 = weird number
• 13510 = weird number
• 13579 = contains the first 5 odd numbers in ascending order
• 13581 = Padovan number
• 13648 = number of 20-bead necklaces (turning over is allowed) where complements are equivalent
• 13649 = highly cototient number
• 13669 = cuban prime
• 13685 = square pyramidal number
• 13790 = weird number
• 13792 = largest number that is not a sum of 16 fourth powers
• 13798 = number of 19-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
• 13820 = meandric number, open meandric number
• 13824 = 24³
• 13831 = palindromic prime
• 13859 = highly cototient number
• 13860 = Pell number, sparsely totient number
• 13930 = weird number
• 13931 = palindromic prime
• 13950 = pentagonal pyramidal number

14000 to 14999

• 14190 = tetrahedral number
• 14200 = number of n-Queens Problem solutions for n – 12
• 14264 = sociable number
• 14280 = sparsely totient number
• 14288 = sociable number
• 14316 = sociable number
• 14341 = palindromic prime
• 14400 = 120², the sum of the first 15 positive integers cubes
• 14490 = sparsely totient number
• 14536 = sociable number
• 14595 = amicable number with 12285
• 14641 = 121² = 11⁴, palindromic square (base 10)
• 14644 = octahedral number
• 14701 = Markov number
• 14741 = palindromic prime
• 14770 = weird number
• 14883 = number of partitions of 35
• 14884 = 122², palindromic square in base 11
• 14910 = square pyramidal number

15000 to 15999

• 15015 = smallest odd and square-free abundant number
• 15120 = 22nd highly composite number; smallest number with exactly 80 factors
• 15180 = tetrahedral number
• 15329 = highly cototient number
• 15376 = 124², pentagonal pyramidal number
• 15387 = Zeisel number
• 15451 = palindromic prime
• 15472 = sociable number
• 15511 = Motzkin prime
• 15539 = highly cototient number
• 15551 = palindromic prime
• 15552 = 3-smooth number (2⁶×3⁵)
• 15610 = weird number
• 15625 = 125² = 25³ = 5⁶
• 15629 = Friedman prime
• 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples (in between which lies a record prime gap of 43)
• 15661 = Friedman prime
• 15667 = second nice Friedman prime
• 15679 = Friedman prime
• 15723 = perfect totient number
• 15793 – number of parallelogram polyominoes with 13 cells
• 15841 = Carmichael number
• 15876 = 126², palindromic square in base 5
• 15890 = weird number
• 15959 = highly cototient number

16000 to 16999

• 16030 = weird number
• 16057 = with 16061, 16063, 16067, 16069, and 16073, the following prime sextuplet after {97, 101, 103, 107, 109, 113}
• 16061 = palindromic prime, It is also the second member of a prime sextuplet set.
• 16063 = third member of a prime sextuplet set
• 16067 = fourth member of a prime sextuplet set
• 16069 = fifth member of a prime sextuplet set
• 16072 = logarithmic number
• 16073 = completes the third prime sextuplet set
• 16091 = strobogrammatic prime
• 16169 = highly cototient number
• 16170 = sparsely totient number
• 16191 = strobogrammatic number
• 16206 = square pyramidal number
• 16269 = octahedral number
• 16310 = weird number
• 16361 = palindromic prime
• 16380 = sparsely totient number
• 16381 = Friedman prime
• 16384 = 128² = 2¹⁴, palindromic in base 15
• 16447 = third nice Friedman prime
• 16561 = palindromic prime
• 16580 = Leyland number using 2 & 14 (2¹⁴ + 14²)
• 16587 = betrothed number
• 16590 = sparsely totient number
• 16651 = cuban prime
• 16661 = palindromic prime
• 16730 = weird number
• 16759 = Friedman prime
• 16796 = Catalan number
• 16807 = 7⁵
• 16843 = smallest Wolstenholme prime
• 16870 = weird number
• 16879 = Friedman prime
• 16891 = strobogrammatic number
• 16896 = pentagonal pyramidal number
• 16999 = number of partially ordered set with 8 unlabeled elements

17000 to 17999

• 17073 = number of free 11-ominoes
• 17163 = the most significant number that is not the sum of the squares of distinct primes
• 17272 = weird number
• 17280 = highly totient number
• 17296 = amicable number with 18416
• 17344 = Kaprekar number
• 17389 = 2000th prime number
• 17471 = palindromic prime
• 17496 = 3-smooth number (2³×3⁷)
• 17570 = weird number
• 17575 = square pyramidal number
• 17576 = 26³, palindromic in base 5
• 17689 = 133², palindromic in base 11
• 17711 = Fibonacci number
• 17716 = sociable number
• 17849 = highly cototient number
• 17971 = palindromic prime
• 17977 = number of partitions of 36
• 17990 = weird number
• 17991 = Padovan number

18000 to 18999

• 18010 = octahedral number
• 18081 = strobogrammatic number
• 18181 = palindromic prime, strobogrammatic prime
• 18334 = number of planar partitions of 17
• 18410 = weird number
• 18416 = amicable number with 17296
• 18432 = 3-smooth number (2¹¹×3²).
• 18479 = highly cototient number
• 18480 = sparsely totient number
• 18481 = palindromic prime
• 18496 = 136², the sum of the first 16 positive integers cubes
• 18600:
  • harmonic divisor number
  • initial number of first century xx00 to xx99 containing as few as six prime numbers {18617, 18637, 18661, 18671, 18679, 18691}
• 18620 = harmonic divisor number
• 18785 = Leyland number using 4 & 7 (4⁷ + 7⁴)
• 18800 = initial number of first century xx00 to xx99 containing as few as five prime numbers {18803, 18839, 18859, 18869, 18899}
• 18830 = weird number
• 18881 = strobogrammatic number
• 18970 = weird number

19000 to 19999

• 19019 = square pyramidal number
• 19061 = strobogrammatic number
• 19110 = sparsely totient number
• 19116 = sociable number
• 19141 = unique prime in base 12
• 19161 = strobogrammatic number
• 19302 = number of ways to partition {1,2,3,4,5,6,7} and then partition each cell (block) into subcells
• 19320 = number of trees with 16 unlabeled nodes, sparsely totient number
• 19390 = weird number
• 19391 = palindromic prime
• 19417 = prime sextuplet, along with 19421, 19423, 19427, 19429, and 19433
• 19441 = cuban prime
• 19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
• 19513 = tribonacci number
• 19531 = repunit prime in base 5
• 19600 = 140², tetrahedral number
• 19601/13860 ≈ √2
• 19609 = first prime followed by a prime gap of over fifty
• 19670 = weird number
• 19683 = 27³, 3⁹. Furthermore, there is a math puzzle regarding the word logic, such that LOGIC = (L+O+G+I+C)³. The solution to this is (1+9+6+8+3) (1+9+6+8+3) (1+9+6+8+3), which is (27)(27)(27), which equals to 19683. This is one of two digits for which this works, although the other solution has O and I are the same digit: 17576, as (1+7+5+7+6) (1+7+5+7+6) (1+7+5+7+6) = (26)(26)(26) = 17576. It is also a perfect totient number.
• 19729 is the number of digits in ${\displaystyle 2\uparrow <!--\; -->\uparrow 5}$(Tetration)
• 19739 = fourth nice Friedman prime
• 19861 = strobogrammatic prime
• 19871 = octahedral number
• 19891 = palindromic prime
• 19916 = sociable number
• 19927 = cuban prime
• 19991 = palindromic prime

Primes

There are 1033 prime numbers between 10000 and 20000, a count that is itself prime. It is 196 prime numbers less than the number of primes between 0 and 10000 (1229, also prime).