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10,000

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← 9999 10000 10001 →
Cardinalten thousand
Ordinal10000th
(ten thousandth)
Numeral systemdecamillesimal
Factorization24 × 54
Greek numeral
Roman numeralX
Unicode symbol(s)X, ↂ
Greek prefixmyria-
Latin prefixdecamilli-
Binary100111000100002
Ternary1112011013
Senary1141446
Octal234208
Duodecimal595412
Hexadecimal271016

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

Name

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 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

In science

In time

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

Selected numbers in the range 10001–19999

  • 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; 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
  • 10223 – smallest of six remaining Seventeen or Bust numbers in the Sierpinski problem
  • 10239Woodall number
  • 10267cuban prime
  • 10301 – palindromic prime in bases 10 (1030110), 27 (E3E27), 30 (BDB30) and 44 (5E544)
  • 10333star prime, palindromic in bases 9 (151519), 31 (ANA31) and 35 (8F835)
  • 10416square pyramidal number
  • 10425octahedral number
  • 10430weird number
  • 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
  • 10585Carmichael number
  • 10601 – palindromic prime in bases 10 (1060110) and 30 (BNB30)
  • 10609tribonacci number
  • 10631 – palindromic prime in base 30 (BOB30)
  • 10646ISO 10646 is the standard for Unicode
  • 10648 – 223
  • 10660tetrahedral number
  • 10671tetranacci number
  • 10744amicable number with 10856
  • 10752 – the second 16-bit word of a TIFF file if the byte order marker is misunderstood
  • 10792weird number
  • 10800 – number of bricks used for the uttaravedi in the Agnicayana ritual
  • 10837 – star prime
  • 10856 – amicable number with 10744
  • 10905Wedderburn–Etherington number
  • 10922repdigit in base 4 (22222224), and palindromic in base 8 (252528)
  • 10946Fibonacci number, Markov number
  • 10989 – reverses when multiplied by 9
  • 10990weird number
  • 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
  • 11368 – pentagonal pyramidal number
  • 11410weird number
  • 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
  • 11480 – tetrahedral number
  • 11605 – smallest integer to start a run of five consecutive integers with the same number of divisors
  • 11690weird number
  • 11719 – cuban prime, twin prime with 11717
  • 11726 – octahedral number
  • 11826 – smallest number whose square (algebra) is pandigital but lacks zeros.
  • 11953 – palindromic prime in bases 7 (465647) and 30 (D8D30)
  • 12097 – cuban prime
  • 12110weird number
  • 12167 – 233
  • 12198semi-meandric number
  • 12285 – amicable number with 14595
  • 12287Thabit number
  • 12321 – palindromic square
  • 12341 – tetrahedral number
  • 12407 - cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.[notes 1][10]
  • 12421 – palindromic prime
  • 12529 – square pyramidal number
  • 12530weird number
  • 12670weird number
  • 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
  • 13267 – cuban prime
  • 13131 – octahedral number
  • 13331 – palindromic prime
  • 13370weird number
  • 13510weird number
  • 13669 – cuban prime
  • 13685 – square pyramidal number
  • 13790weird number
  • 13792 – largest number that is not a sum of 16 fourth powers
  • 13820meandric number, open meandric number
  • 13824 – 243
  • 13831 – palindromic prime
  • 13860Pell number
  • 13930weird number
  • 13931 – palindromic prime
  • 13950 – pentagonal pyramidal number
  • 14190 – tetrahedral number
  • 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
  • 14701Markov number
  • 14741 – palindromic prime
  • 14770weird number
  • 14595 – amicable number with 12285
  • 14884 – 1222, palindromic square in base 11
  • 14910 – square pyramidal number
  • 15015 – smallest odd and square-free abundant number
  • 15120 – highly composite number
  • 15180 – tetrahedral number
  • 15376 – pentagonal pyramidal number
  • 15387Zeisel number
  • 15451 – palindromic prime
  • 15511Motzkin number
  • 15551 – palindromic prime
  • 15610weird number
  • 15625 – 56
  • 15841 – Carmichael number
  • 15876 – 1262, palindromic square in base 5
  • 15890weird number
  • 16030weird number
  • 16061 – palindromic prime
  • 16091strobogrammatic prime
  • 16127Carol prime, also an emirp
  • 16206 – square pyramidal number
  • 16269 – octahedral number
  • 16310weird number
  • 16361 – palindromic prime
  • 16384 – 214, palindromic in base 15
  • 16447Friedman number
  • 16843Wolstenholme prime
  • 16561 – palindromic prime
  • 16580Leyland number
  • 16639Kynea number
  • 16651 – cuban prime
  • 16661 – palindromic prime
  • 16730weird number
  • 16796Catalan number
  • 16807 – 75
  • 16870weird number
  • 16896 – pentagonal pyramidal number
  • 17163 – the largest number that is not the sum of the squares of distinct primes
  • 17272weird number
  • 17296 – amicable number with 18416[11]
  • 17344Kaprekar number
  • 17471 – palindromic prime
  • 17570weird number
  • 17575 – square pyramidal number
  • 17576 – 263, palindromic in base 5
  • 17689 – 1332, palindromic in base 11
  • 17711 – Fibonacci number
  • 17971 – palindromic prime
  • 17990weird number
  • 18010 – octahedral number
  • 18181 – palindromic prime, strobogrammatic prime
  • 18410weird number
  • 18416 – amicable number with 17296[12]
  • 18481 – palindromic prime
  • 18496 – sum of the cubes of the first 16 positive integers
  • 18600harmonic divisor number
  • 18620 – harmonic divisor number
  • 18785 – Leyland number
  • 18830weird number
  • 18970weird number
  • 19019 – square pyramidal number
  • 19390weird number
  • 19391 – palindromic prime
  • 19441 – cuban prime
  • 19455 – smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
  • 19513 – tribonacci number
  • 19531repunit prime in base 5
  • 19600 – 1402, tetrahedral number
  • 19609 – first prime followed by a prime gap of over fifty
  • 19670weird number
  • 19683 – 39
  • 19871 – octahedral number
  • 19891 – palindromic prime
  • 19927 – cuban prime
  • 19991 – palindromic prime

See also

  • iconMathematics portal
  • Notes

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

    References

    • 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. Vol. 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. Vol. 12 (1st American ed.). Joseph and Edward Parker. Retrieved 2015-10-09.
    7. ^ Dingler, Johann Gottfried (1823). Polytechnisches Journal (in German). Vol. 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. ^ Host: Stephen Fry; Panellists: Alan Davies, Al Murray, Dara Ó Briain and Sandi Toksvig (11 November 2011). "Inland Revenue". QI. Episode 10. 19:55 minutes in. BBC. BBC Two. {{cite episode}}: Unknown parameter |city= ignored (|location= suggested) (help); Unknown parameter |serieslink= ignored (|series-link= suggested) (help); Unknown parameter |seriesno= ignored (|series-number= suggested) (help)
    11. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
    12. ^ Higgins, ibid.