10,000

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

 ← 9999 10000 10001 →
Cardinalten thousand
Ordinal10000th
(ten thousandth)
Numeral systemdecamillesimal
Factorization24 × 54
Divisors25 total
Greek numeral${\displaystyle {\stackrel {\alpha }{\mathrm {M} }}}$
Roman numeralX
Unicode symbol(s)X, ↂ
Greek prefixmyria-
Latin prefixdecamilli-
Binary100111000100002
Ternary1112011013
Octal234208
Duodecimal595412
Chinese numeral万, 萬

Name

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 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. [5]
• 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 [6]
• 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,
• In literature,
• 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. [8]
• 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[11]
• 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,

Selected numbers in the range 10001-19999

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.
• 11297 = number of planar partitions of 16[29]
• 11298 = Riordan number
• 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.[18]
• 11368 = pentagonal pyramidal number[14]
• 11410 = weird number.[21]
• 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.[19]
• 11480 = tetrahedral number.[24]
• 11605 = smallest integer to start a run of five consecutive integers with the same number of divisors.
• 11690 = weird number.[21]
• 11717 = twin prime with 11719.
• 11719 = cuban prime,[17] twin prime with 11717.
• 11726 = octahedral number.[20]
• 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.[30]
• 12048 = number of non-isomorphic set-systems of weight 12.
• 12097 = cuban prime.[17]
• 12101 = Friedman prime.
• 12107 = Friedman prime.
• 12109 = Friedman prime.
• 12110 = weird number.[21]
• 12167 = 233
• 12172 = number of triangle-free graphs on 10 vertices[31]
• 12198 = semi-meandric number[32]
• 12251 = number of primes ${\displaystyle \leq 2^{17}}$ .[33]
• 12285 = amicable number with 14595.
• 12287 = Thabit number.
• 12289 = Proth prime, Pierpont prime.
• 12321 = 1112, Demlo number, palindromic square.
• 12341 = tetrahedral number.[24]
• 12407 = cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.[notes 1][34]
• 12421 = palindromic prime.
• 12496 = smallest sociable number.
• 12529 = square pyramidal number.[19]
• 12530 = weird number.[21]
• 12670 = weird number.[21]
• 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 yksikaksiseitsemänkuusiviisi, ei voittoa, "one – two – seven – six – five, no prize".
• 12769 = 1132, palindromic in base 3.
• 12821 = palindromic prime.

14000 to 14999

• 14190 = tetrahedral number.[24]
• 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.[20]
• 14701 = Markov number.[28]
• 14741 = palindromic prime.
• 14770 = weird number.[21]
• 14884 = 1222, palindromic square in base 11.
• 14910 = square pyramidal number.[19]

15000 to 15999

• 15015 = smallest odd and square-free abundant number.[36]
• 15120 = highly composite number.[12]
• 15180 = tetrahedral number.[24]
• 15376 = 1242, pentagonal pyramidal number.[14]
• 15387 = Zeisel number.[37]
• 15451 = palindromic prime.
• 15511 = Motzkin prime.[38]
• 15551 = palindromic prime
• 15610 = weird number.[21]
• 15625 = 1252 = 253 = 56
• 15629 = Friedman prime.
• 15640 = initial number of only four-, five-, or six-digit century to contain two prime quadruples[39] (in between which lies a record prime gap of 43[40]).
• 15661 = Friedman prime.
• 15667 = second nice Friedman prime.
• 15679 = Friedman prime.
• 15793 – number of parallelogram polyominoes with 13 cells.[41]
• 15841 = Carmichael number.[22]
• 15876 = 1262, palindromic square in base 5.
• 15890 = weird number.[21]

17000 to 17999

• 17073 = number of free 11-ominoes.
• 17163 = the largest number that is not the sum of the squares of distinct primes.
• 17272 = weird number.[21]
• 17296 = amicable number with 18416.[48]
• 17344 = Kaprekar number.[49]
• 17389 = 2000th prime number.
• 17471 = palindromic prime.
• 17570 = weird number.[21]
• 17575 = square pyramidal number.[19]
• 17576 = 263, palindromic in base 5.
• 17689 = 1332, palindromic in base 11.
• 17711 = Fibonacci number.[27]
• 17971 = palindromic prime.
• 17990 = weird number.[21]

18000 to 18999

• 18010 = octahedral number.[20]
• 18181 = palindromic prime, strobogrammatic prime.[43]
• 18334 = number of planar partitions of 17[50]
• 18410 = weird number.[21]
• 18416 = amicable number with 17296.[51]
• 18481 = palindromic prime.
• 18496 = 1362, sum of the cubes of the first 16 positive integers.
• 18600 = harmonic divisor number.[52]
• 18620 = harmonic divisor number.[52]
• 18785 = Leyland number.[44]
• 18830 = weird number.[21]
• 18970 = weird number.[21]

19000 to 19999

• 19019 = square pyramidal number.[19]
• 19141 = unique prime in base 12.
• 19302 = number of ways to partition {1,2,3,4,5,6,7} and then partition each cell (block) into subcells.[53]
• 19390 = weird number.[21]
• 19391 = palindromic prime.
• 19441 = cuban prime.[17]
• 19455 = smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers.
• 19513 = tribonacci number.[23]
• 19531 = repunit prime in base 5.
• 19600 = 1402, tetrahedral number.
• 19601/13860 ≈ √2
• 19609 = first prime followed by a prime gap of over fifty.[40]
• 19670 = weird number.[21]
• 19683 = 273, 39
• 19739 = fourth nice Friedman prime.
• 19871 = octahedral number.[20]
• 19891 = palindromic prime.
• 19927 = cuban prime.[17]
• 19991 = palindromic prime.

There are 1033 prime numbers between 10000 and 20000.

Notes

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

References

1. ^
2. ^ http://www.merriam-webster.com/dictionary/myriad (Merriam-Webster's Online Dictionary)
3. ^ Climate Timeline Information Tool
4. ^
5. ^ "NASA Project: Columbia". Archived from the original on 2005-04-08. Retrieved 2005-02-15.
6. ^ 10000 trails web site
7. ^ "Ten Thousand Islands NWR". U.S. Fish & Wildlife Service. Archived from the original on 2005-03-01. Retrieved 2005-02-14.
8. ^ Brewster, David (1830). The Edinburgh Encyclopædia. Vol. 12. Edinburgh, UK: William Blackwood, John Waugh, John Murray, Baldwin & Cradock, J. M. Richardson. p. 494. Retrieved 2015-10-09.
9. ^ Brewster, David (1832). The Edinburgh Encyclopaedia. Vol. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09.
10. ^ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). Vol. 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09.
11. ^ https://www.gutenberg.org/ebooks/926 : Ten Thousand Dreams Interpreted
12. ^ a b "Sloane's A002182: Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
13. ^ "Sloane's A273987: Smallest Riesel number to base n". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-01-30.
14. "Sloane's A002411: Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
15. ^ "Sloane's A003261: Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
16. ^ a b c "Sloane's A000931: Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
17. "Sloane's A002407: Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
18. ^ a b c "Sloane's A083577: Prime star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
19. "Sloane's A000330: Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
20. "Sloane's A005900: Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
21. "Sloane's A006037: Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
22. ^ a b "Sloane's A002997: Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
23. ^ a b "Sloane's A000073: Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
24. "Sloane's A000292: Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
25. ^ "Sloane's A000078: Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
26. ^ "Sloane's A001190: Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
27. ^ a b "Sloane's A000045: Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
28. ^ a b "Sloane's A002559: Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
29. ^
30. ^ Revelation 7:4–8
31. ^ Sloane, N. J. A. (ed.). "Sequence A006785 (Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
32. ^ "Sloane's A000682: Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
33. ^ Sloane, N. J. A. (ed.). "Sequence A007053". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-02.
34. ^ 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.
35. ^ "Sloane's A000129: Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
36. ^ "Sloane's A112643: Odd and squarefree abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
37. ^ "Sloane's A051015: Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
38. ^ "Sloane's A001006: Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
39. ^ "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.
40. ^ a b "Table of Known Maximal Gaps". Prime Pages.
41. ^
42. ^ Sloane, N. J. A. (ed.). "Sequence A002104 (Logarithmic numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
43. ^ a b "Sloane's A007597: Strobogrammatic primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
44. ^ a b "Sloane's A076980: Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
45. ^ "Sloane's A000108: Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
46. ^ "Sloane's A088164: Wolstenholme primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
47. ^
48. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
49. ^ "Sloane's A006886: Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
50. ^
51. ^ Higgins, ibid.
52. ^ a b "Sloane's A001599: Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
53. ^ Sloane, N. J. A. (ed.). "Sequence A000258 (Expansion of e.g.f. exp(exp(exp(x)-1)-1))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.