10000 (number)

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← 9999 10000 10001 →
Cardinal ten thousand
Ordinal 10000th
(ten thousandth)
Numeral system decamillesimal
Factorization 24× 54
Roman numeral X
Unicode symbol(s) X, ↂ
Greek prefix myria-
Latin prefix decamilli-
Binary 100111000100002
Ternary 1112011013
Quaternary 21301004
Quinary 3100005
Senary 1141446
Octal 234208
Duodecimal 595412
Hexadecimal 271016
Vigesimal 150020
Base 36 7PS36

10000 (ten thousand) is the natural number following 9999 and preceding 10001.

Name[edit]

Many languages have a specific word for this number: in Ancient Greek it is μύριοι (related to 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], and in Thai หมื่น [meun]. It is often used to mean an indefinite very large number.[1]

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[edit]

In science[edit]

In time[edit]

10,000 days can be expressed in these alternative units:

  • 864,000,000 seconds
  • 14,400,000 minutes
  • 240,000 hours
  • 1428 weeks (rounded down)

In other fields[edit]

Selected numbers in the range 10001–19999[edit]

  • 10007 – smallest five-digit prime number
  • 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
  • 10033 – a character from the fictional Vlog series lonelygirl15
  • 10080highly composite number;[10] number of minutes in a week
  • 10111 – palindromic prime in bases 3 (1112121113) and 27 (DND27)
  • 10201 – 1012, palindromic square (in the decimal system)
  • 10206pentagonal pyramidal number[11]
  • 10223 – smallest of six remaining Seventeen or Bust numbers in the Sierpinski problem
  • 10239Woodall number[12]
  • 10252Padovan number[13]
  • 10267cuban prime[14]
  • 10301 – palindromic prime in bases 10 (1030110), 27 (E3E27), 30 (BDB30) and 44 (5E544)
  • 10333star prime,[15] palindromic in bases 9 (151519), 31 (ANA31) and 35 (8F835)
  • 10416square pyramidal number[16]
  • 10425octahedral number[17]
  • 10430weird number[18]
  • 10440 – 144th triangular number
  • 10433 – palindromic prime in base 44 (5H544)
  • 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
  • 1053810538 Overture is a hit single by Electric Light Orchestra
  • 10560Harshad number in bases 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 13, 14 and 16
  • 10570weird number[18]
  • 10585Carmichael number[19]
  • 10601 – palindromic prime in bases 10 (1060110) and 30 (BNB30)
  • 10609tribonacci number[20]
  • 10631 – palindromic prime in base 30 (BOB30)
  • 10646ISO 10646 is the standard for Unicode
  • 10648 – 223
  • 10660tetrahedral number[21]
  • 10671tetranacci number[22]
  • 10744amicable number with 10856
  • 10752 – the second 16-bit word of a TIFF file if the byte order marker is misunderstood
  • 10792weird number[18]
  • 10800 – number of bricks used for the uttaravedi in the Agnicayana ritual
  • 10837 – star prime[15]
  • 10856 – amicable number with 10744
  • 10905Wedderburn–Etherington number[23]
  • 10922repdigit in base 4 (22222224), and palindromic in base 8 (252528)
  • 10946Fibonacci number,[24] Markov number[25]
  • 10989 – reverses when multiplied by 9
  • 10990weird number[18]
  • 11025 – sum of the cubes of the first 14 positive integers
  • 11083 – palindromic prime in 2 consecutive bases: 23 (KLK23) and 24 (J5J24)
  • 11311 – palindromic prime
  • 11340 – Harshad number in bases 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15 and 16
  • 11377 – Smarandache reverse power summation number
  • 11353star prime[15]
  • 11368 – pentagonal pyramidal number[11]
  • 11410weird number[18]
  • 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[16]
  • 11480 – tetrahedral number[21]
  • 11605 – smallest integer to start a run of five consecutive integers with the same number of divisors
  • 11690 – weird number[18]
  • 11719 – cuban prime,[14] twin prime with 11717
  • 11726 – octahedral number[17]
  • 11826 – smallest number whose square (algebra) is pandigital but lacks zeros.
  • 11953 – palindromic prime in bases 7 (465647) and 30 (D8D30)
  • 12097 – cuban prime[14]
  • 12110 – weird number[18]
  • 12167 – 233
  • 12198semi-meandric number[26]
  • 12285 – amicable number with 14595
  • 12287Thabit number
  • 12321 – palindromic square
  • 12341 – tetrahedral number[21]
  • 12407 - cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.[notes 1][27]
  • 12421 – palindromic prime
  • 12529 – square pyramidal number[16]
  • 12530weird number[18]
  • 12670 – weird number[18]
  • 12721 – palindromic prime
  • 12726Ruth–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
  • 13244 – tetrahedral number[21]
  • 13267 – cuban prime[14]
  • 13131 – octahedral number[17]
  • 13331 – palindromic prime
  • 13370weird number[18]
  • 13510 – weird number[18]
  • 13581 – Padovan number[13]
  • 13669 – cuban prime[14]
  • 13685 – square pyramidal number[16]
  • 13790 – weird number[18]
  • 13792 – largest number that is not a sum of 16 fourth powers
  • 13820meandric number, open meandric number
  • 13824 – 243
  • 13831 – palindromic prime
  • 13860Pell number[28]
  • 13930 – weird number[18]
  • 13931 – palindromic prime
  • 13950 – pentagonal pyramidal number[11]
  • 14190 – tetrahedral number[21]
  • 14200 – number of n-Queens Problem solutions for n – 12
  • 14341 – palindromic prime
  • 14400 – sum of the cubes of the first 15 positive integers
  • 14641 – 114, palindromic square (base 10)
  • 14644 – octahedral number[17]
  • 14701Markov number[25]
  • 14741 – palindromic prime
  • 14770weird number[18]
  • 14595 – amicable number with 12285
  • 14884 – 1222, palindromic square in base 11
  • 14910 – square pyramidal number[16]
  • 15015 – smallest odd and square-free abundant number[29]
  • 15120 – highly composite number[10]
  • 15180 – tetrahedral number[21]
  • 15376 – pentagonal pyramidal number[11]
  • 15387Zeisel number[30]
  • 15451 – palindromic prime
  • 15511Motzkin number[31]
  • 15551 – palindromic prime
  • 15610weird number[18]
  • 15625 – 56
  • 15841 – Carmichael number[19]
  • 15876 – 1262, palindromic square in base 5
  • 15890 – weird number[18]
  • 16030 – weird number[18]
  • 16061 – palindromic prime
  • 16091strobogrammatic prime[32]
  • 16127Carol prime,[33] also an emirp
  • 16206 – square pyramidal number[16]
  • 16269 – octahedral number[17]
  • 16310 – weird number[18]
  • 16361 – palindromic prime
  • 16384 – 214, palindromic in base 15
  • 16447Friedman number
  • 16561 – palindromic prime
  • 16580Leyland number[34]
  • 16639Kynea number[35]
  • 16651 – cuban prime[14]
  • 16661 – palindromic prime
  • 16730weird number[18]
  • 16796Catalan number[36]
  • 16807 – 75
  • 16843Wolstenholme prime[37]
  • 16870 – weird number[18]
  • 16896 – pentagonal pyramidal number[11]
  • 17163 – the largest number that is not the sum of the squares of distinct primes
  • 17272 – weird number[18]
  • 17296 – amicable number with 18416[38]
  • 17344Kaprekar number[39]
  • 17471 – palindromic prime
  • 17570 – weird number[18]
  • 17575 – square pyramidal number[16]
  • 17576 – 263, palindromic in base 5
  • 17689 – 1332, palindromic in base 11
  • 17711 – Fibonacci number[24]
  • 17971 – palindromic prime
  • 17990weird number[18]
  • 17991 – Padovan number[13]
  • 18010 – octahedral number[17]
  • 18181 – palindromic prime, strobogrammatic prime[32]
  • 18410 – weird number[18]
  • 18416 – amicable number with 17296[40]
  • 18481 – palindromic prime
  • 18496 – sum of the cubes of the first 16 positive integers
  • 18600harmonic divisor number[41]
  • 18620 – harmonic divisor number[41]
  • 18785 – Leyland number[34]
  • 18830 – weird number[18]
  • 18970 – weird number[18]
  • 19019 – square pyramidal number[16]
  • 19390 – weird number[18]
  • 19391 – palindromic prime
  • 19441 – cuban prime[14]
  • 19455 – smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
  • 19513 – tribonacci number[20]
  • 19531repunit prime in base 5
  • 19600 – 1402, tetrahedral number
  • 19609 – first prime followed by a prime gap of over fifty
  • 19670weird number[18]
  • 19683 – 39
  • 19871 – octahedral number[17]
  • 19891 – palindromic prime
  • 19927 – cuban prime[14]
  • 19991 – palindromic prime

See also[edit]

Notes[edit]

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

References[edit]

  • Gladwell, Malcolm (2008). Outliers: The story of Success. New York: Little, Brown & Co. ISBN 978-0-316-03669-6. 
  1. ^ http://www.merriam-webster.com/dictionary/myriad (Merriam-Webster's Online Dictionary)
  2. ^ Climate Timeline Information Tool
  3. ^ http://www.infoworld.com/article/04/07/28/HNnasalinux_1.html news
  4. ^ NASA Project: Columbia
  5. ^ 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. 
  6. ^ Brewster, David (1832). The Edinburgh Encyclopaedia 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09. 
  7. ^ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German) 11. Stuttgart, Germany: J.W. Gotta'schen Buchhandlung. Retrieved 2015-10-09. 
  8. ^ https://www.gutenberg.org/etext/926 : Ten Thousand Dreams Interpreted
  9. ^ Gladwell 2008.
  10. ^ a b "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  11. ^ a b c d e "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  12. ^ "Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  13. ^ a b c "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11. 
  14. ^ a b c d e f g h "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  15. ^ a b c "Sloane's A083577 : Prime star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  16. ^ a b c d e f g h "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  17. ^ a b c d e f g "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  18. ^ a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  19. ^ a b "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  20. ^ a b "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  21. ^ a b c d e f "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  22. ^ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  23. ^ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  24. ^ a b "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  25. ^ a b "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  26. ^ "Sloane's A000682 : Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  27. ^ Host: Stephen Fry; Panellists: Alan Davies, Al Murray, Dara Ó Briain and Sandi Toksvig (11 November 2011). "Inland Revenue". QI. Series I. Episode 10. 19:55 minutes in. BBC. BBC Two. 
  28. ^ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  29. ^ "Sloane's A112643 : Odd and squarefree abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  30. ^ "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  31. ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  32. ^ a b "Sloane's A007597 : Strobogrammatic primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  33. ^ "Sloane's A091516 : Primes of the form 4^n - 2^(n+1) - 1". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  34. ^ a b "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  35. ^ "Sloane's A093069 : a(n) = (2^n + 1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  36. ^ "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  37. ^ "Sloane's A088164 : Wolstenholme primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  38. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1. 
  39. ^ "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 
  40. ^ Higgins, ibid.
  41. ^ a b "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15. 

External links[edit]