10,000

10,000 (ten thousand) is the natural number following 9,999 and preceding 10,001.

This article is about the natural number (and other integers between 10,000 and 19,999). For other uses, see 10,000 (disambiguation).
← 9999 10000 10001 →
← 0 [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]] [[{{#expr:{{{1}}}*{{{factor}}}*1000}} (number)|{{#ifeq:{{{1}}}|10|→|{{#expr:{{{1}}}*{{{factor}}}}}k}}]]
Cardinalten thousand
Ordinal10000th
(ten thousandth)
Numeral systemdecamillesimal
Factorization24 × 54
Divisors25 total
Greek numeral
Roman numeralX
Unicode symbol(s)X, ↂ
Greek prefixmyria-
Latin prefixdecamilli-
Binary100111000100002
Ternary1112011013
Octal234208
Duodecimal595412
Hexadecimal271016
Chinese numeral万, 萬

Name
See also: Orders of magnitude (numbers)

Many languages have a specific word for this number: in Ancient Greek it is μύριοι (the etymological root of the word myriad in English), in Aramaic ܪܒܘܬܐ, in Hebrew רבבה [revava], in Chinese 萬/万 (Mandarin wàn, Cantonese maan6, Hokkien bān), in Japanese 万/萬 [man], in Khmer ម៉ឺន [meun], in Korean 만/萬 [man], in Russian тьма [t'ma], in Vietnamese vạn, in Sanskrit अयुत [ayuta], in Thai หมื่น [meun], in Malayalam പതിനായിരം [patinayiram], and in Malagasy alina. [1] In many of these languages, it often denotes a very large but indefinite number.[2]

The Greek root was used in early versions of the metric system in the form of the decimal prefix myria-.

The number 10000 can also be written 10,000 (UK and US), 10.000 (Europe mainland), 10 000 (transition metric), or 10•000 (with the dot raised to the middle of the zeroes; metric).

In mathematics

In science

In time

In Arts

In other fields
  • In currency,
  • In distances,
  • 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 that is also called farkle.
  • In game shows, The $10,000 Pyramid ran on television from 1973 to 1974
  • In history,
    • Army of 10,000 Sixty Day Troops, 1862–1863. American Civil War
    • The Army of the Ten Thousand were a group of Ancient Greek mercenaries who marched against Artaxerxes II of Persia.
    • The Goddess can appear as the Lady of the Ten Thousand Names, as did Isis who was called Isis of Ten Thousand Names
    • 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,
  • 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[9]
  • In religion,
  • 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 metres, 10 kilometres, 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 professional sports history to lose 10,000 games.

Selected numbers in the range 10001-19999

10001 to 10999

11000 to 11999
  • 11025 = 1052, sum of the cubes of the first 14 positive integers
  • 11083 – palindromic prime in 2 consecutive bases: 23 (KLK23) and 24 (J5J24)
  • 11111 – repdigit
  • 11311 – palindromic prime
  • 11340 – Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
  • 11353 – star prime[16]
  • 11368 – pentagonal pyramidal number[12]
  • 11410 – weird number[19]
  • 11411 – palindromic prime in base 10
  • 11424 – Harshad number in bases 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
  • 11440 – square pyramidal number[17]
  • 11480 – tetrahedral number[22]
  • 11605 – smallest integer to start a run of five consecutive integers with the same number of divisors
  • 11690 – weird number[19]
  • 11717 – twin prime with 11719
  • 11719 – cuban prime,[15] twin prime with 11717
  • 11726 – octahedral number[18]
  • 11826 – smallest number whose square (algebra) is pandigital without zeros.
  • 11953 – palindromic prime in bases 7 (465647) and 30 (D8D30)

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[27]
  • 12097 – cuban prime[15]
  • 12101 – Friedman prime
  • 12107 – Friedman prime
  • 12109 – Friedman prime
  • 12110 – weird number[19]
  • 12167 = 233
  • 12198 – semi-meandric number[28]
  • 12285 – amicable number with 14595
  • 12287 – Thabit number
  • 12289 – Proth prime, Pierpont prime
  • 12321 = 1112, Demlo number, palindromic square
  • 12341 – tetrahedral number[22]
  • 12407 – cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.[notes 1][29]
  • 12421 – palindromic prime
  • 12496 – smallest sociable number
  • 12529 – square pyramidal number[17]
  • 12530 – weird number[19]
  • 12670 – weird number[19]
  • 12721 – palindromic prime
  • 12726 – Ruth–Aaron pair
  • 12758 – largest 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

14000 to 14999
  • 14190 – tetrahedral number[22]
  • 14200 – number of n-Queens Problem solutions for n – 12
  • 14341 – palindromic prime
  • 14400 = 1202, sum of the cubes of the first 15 positive integers
  • 14595 – amicable number with 12285
  • 14641 = 1212 = 114, palindromic square (base 10)
  • 14644 – octahedral number[18]
  • 14701 – Markov number[26]
  • 14741 – palindromic prime
  • 14770 – weird number[19]
  • 14884 = 1222, palindromic square in base 11
  • 14910 – square pyramidal number[17]

15000 to 15999
  • 15015 – smallest odd and square-free abundant number[31]
  • 15120 – highly composite number[10]
  • 15180 – tetrahedral number[22]
  • 15376 = 1242, pentagonal pyramidal number[12]
  • 15387 – Zeisel number[32]
  • 15451 – palindromic prime
  • 15511 – Motzkin prime[33]
  • 15551 – palindromic prime
  • 15610 – weird number[19]
  • 15625 = 1252 = 253 = 56
  • 15629 – Friedman prime
  • 15640 – initial number of only four-, five-, or six-digit century to contain two prime quadruples[34] (in between which lies a record prime gap of 43[35])
  • 15661 – Friedman prime
  • 15667 – second nice Friedman prime
  • 15679 – Friedman prime
  • 15841 – Carmichael number[20]
  • 15876 = 1262, palindromic square in base 5
  • 15890 – weird number[19]

16000 to 16999

17000 to 17999
  • 17163 – the largest number that is not the sum of the squares of distinct primes
  • 17272 – weird number[19]
  • 17296 – amicable number with 18416[40]
  • 17344 – Kaprekar number[41]
  • 17389 – 2000th prime number
  • 17471 – palindromic prime
  • 17570 – weird number[19]
  • 17575 – square pyramidal number[17]
  • 17576 = 263, palindromic in base 5
  • 17689 = 1332, palindromic in base 11
  • 17711 – Fibonacci number[25]
  • 17971 – palindromic prime
  • 17990 – weird number[19]
  • 17991 – Padovan number[14]

18000 to 18999
  • 18010 – octahedral number[18]
  • 18181 – palindromic prime, strobogrammatic prime[36]
  • 18410 – weird number[19]
  • 18416 – amicable number with 17296[42]
  • 18481 – palindromic prime
  • 18496 = 1362, sum of the cubes of the first 16 positive integers
  • 18600 – harmonic divisor number[43]
  • 18620 – harmonic divisor number[43]
  • 18785 – Leyland number[37]
  • 18830 – weird number[19]
  • 18970 – weird number[19]

19000 to 19999
  • 19019 – square pyramidal number[17]
  • 19141 – unique prime in base 12
  • 19390 – weird number[19]
  • 19391 – palindromic prime
  • 19441 – cuban prime[15]
  • 19455 – smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
  • 19513 – tribonacci number[21]
  • 19531 – repunit prime in base 5
  • 19600 = 1402, tetrahedral number
  • 19609 – first prime followed by a prime gap of over fifty[35]
  • 19670 – weird number[19]
  • 19683 = 273, 39
  • 19739 – fourth nice Friedman prime
  • 19871 – octahedral number[18]
  • 19891 – palindromic prime
  • 19927 – cuban prime[15]
  • 19991 – palindromic prime

There are 1033 prime numbers between 10000 and 20000.

See also

Notes
  1. On the basis that it did not then (November 2011) appear in Sloane's On-Line Encyclopedia of Integer Sequences.

References
  1. "Malagasy Dictionary and Madagascar Encyclopedia : Alina".
  2. http://www.merriam-webster.com/dictionary/myriad (Merriam-Webster's Online Dictionary)
  3. Climate Timeline Information Tool
  4. http://www.infoworld.com/article/04/07/28/HNnasalinux_1.html news
  5. "NASA Project: Columbia". Archived from the original on 2005-04-08. Retrieved 2005-02-15.
  6. Brewster, David (1830). The Edinburgh Encyclopædia. 12. Edinburgh, UK: William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson. p. 494. Retrieved 2015-10-09.
  7. Brewster, David (1832). The Edinburgh Encyclopaedia. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09.
  8. Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09.
  9. https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted
  10. "Sloane's A002182: Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  11. "Sloane's A273987: Smallest Riesel number to base n". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-30.
  12. "Sloane's A002411: Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  13. "Sloane's A003261: Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  14. "Sloane's A000931: Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
  15. "Sloane's A002407: Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  16. "Sloane's A083577: Prime star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  17. "Sloane's A000330: Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  18. "Sloane's A005900: Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  19. "Sloane's A006037: Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  20. "Sloane's A002997: Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  21. "Sloane's A000073: Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  22. "Sloane's A000292: Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  23. "Sloane's A000078: Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  24. "Sloane's A001190: Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  25. "Sloane's A000045: Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  26. "Sloane's A002559: Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  27. Revelation 7:4–8
  28. "Sloane's A000682: Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  29. Host: Stephen Fry; Panellists: Alan Davies, Al Murray, Dara Ó Briain and Sandi Toksvig (11 November 2011). "Inland Revenue". QI. Series I. Episode 10. London, England. 19:55 minutes in. BBC. BBC Two.
  30. "Sloane's A000129: Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  31. "Sloane's A112643: Odd and squarefree abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  32. "Sloane's A051015: Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  33. "Sloane's A001006: Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  34. "Sloane's A007530: Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-30.
  35. "Table of Known Maximal Gaps". Prime Pages.
  36. "Sloane's A007597: Strobogrammatic primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  37. "Sloane's A076980: Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  38. "Sloane's A000108: Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  39. "Sloane's A088164: Wolstenholme primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  40. Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
  41. "Sloane's A006886: Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
  42. Higgins, ibid.
  43. "Sloane's A001599: Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
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