# 10,000

(Redirected from 10800)
 ← 9999 10000 10001 →
Cardinal ten thousand
Ordinal 10000th
(ten thousandth)
Numeral system decamillesimal
Factorization 24× 54
Greek numeral ${\displaystyle {\stackrel {\alpha }{\mathrm {M} }}}$
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
Vigesimal 150020
Base 36 7PS36

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

## 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 Thai หมื่น [meun], and in Malayalam പതിനായിരം (patinayiram). 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).

## Selected numbers in the range 10001–19999

### 11000 to 11999

• 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[14]
• 11368 – pentagonal pyramidal number[10]
• 11410weird number[17]
• 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[15]
• 11480 – tetrahedral number[20]
• 11605 – smallest integer to start a run of five consecutive integers with the same number of divisors
• 11690 – weird number[17]
• 11719 – cuban prime,[13] twin prime with 11717
• 11726 – octahedral number[16]
• 11826 – smallest number whose square (algebra) is pandigital but lacks zeros.
• 11953 – palindromic prime in bases 7 (465647) and 30 (D8D30)

### 12000 to 12999

• 12097 – cuban prime[13]
• 12110 – weird number[17]
• 12167 – 233
• 12198semi-meandric number[25]
• 12285 – amicable number with 14595
• 12287Thabit number
• 12321 – palindromic square
• 12341 – tetrahedral number[20]
• 12407 - cited on QI as the smallest uninteresting positive integer in terms of arithmetical mathematics.[notes 1][26]
• 12421 – palindromic prime
• 12529 – square pyramidal number[15]
• 12530weird number[17]
• 12670 – weird number[17]
• 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

### 14000 to 14999

• 14190 – tetrahedral number[20]
• 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[16]
• 14701Markov number[24]
• 14741 – palindromic prime
• 14770weird number[17]
• 14595 – amicable number with 12285
• 14884 – 1222, palindromic square in base 11
• 14910 – square pyramidal number[15]

### 17000 to 17999

• 17163 – the largest number that is not the sum of the squares of distinct primes
• 17272 – weird number[17]
• 17296 – amicable number with 18416[37]
• 17344Kaprekar number[38]
• 17471 – palindromic prime
• 17570 – weird number[17]
• 17575 – square pyramidal number[15]
• 17576 – 263, palindromic in base 5
• 17689 – 1332, palindromic in base 11
• 17711 – Fibonacci number[23]
• 17971 – palindromic prime
• 17990weird number[17]

### 18000 to 18999

• 18010 – octahedral number[16]
• 18181 – palindromic prime, strobogrammatic prime[31]
• 18410 – weird number[17]
• 18416 – amicable number with 17296[39]
• 18481 – palindromic prime
• 18496 – sum of the cubes of the first 16 positive integers
• 18600harmonic divisor number[40]
• 18620 – harmonic divisor number[40]
• 18785 – Leyland number[33]
• 18830 – weird number[17]
• 18970 – weird number[17]

### 19000 to 19999

• 19019 – square pyramidal number[15]
• 19390 – weird number[17]
• 19391 – palindromic prime
• 19441 – cuban prime[13]
• 19455 – smallest integer that cannot be expressed as a sum of fewer than 548 ninth powers
• 19513 – tribonacci number[19]
• 19531repunit prime in base 5
• 19600 – 1402, tetrahedral number
• 19609 – first prime followed by a prime gap of over fifty
• 19670weird number[17]
• 19683 – 39
• 19871 – octahedral number[16]
• 19891 – palindromic prime
• 19927 – cuban prime[13]
• 19991 – palindromic prime

## Notes

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

## References

1. ^ http://www.merriam-webster.com/dictionary/myriad (Merriam-Webster's Online Dictionary)
2. ^ Climate Timeline Information Tool
3. ^
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. ^ a b "Sloane's A002182 : Highly composite numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
10. "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
11. ^ "Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
12. ^ a b c "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
13. "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
14. ^ a b c "Sloane's A083577 : Prime star numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
15. "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
16. "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
17. "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
18. ^ a b "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
19. ^ a b "Sloane's A000073 : Tribonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
20. "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
21. ^ "Sloane's A000078 : Tetranacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
22. ^ "Sloane's A001190 : Wedderburn-Etherington numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
23. ^ a b "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
24. ^ a b "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
25. ^ "Sloane's A000682 : Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
26. ^ 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.
27. ^ "Sloane's A000129 : Pell numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
28. ^ "Sloane's A112643 : Odd and squarefree abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
29. ^ "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
30. ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
31. ^ a b "Sloane's A007597 : Strobogrammatic primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
32. ^ "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.
33. ^ a b "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
34. ^ "Sloane's A093069 : a(n) = (2^n + 1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
35. ^ "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
36. ^ "Sloane's A088164 : Wolstenholme primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
37. ^ Higgins, Peter (2008). Number Story: From Counting to Cryptography. New York: Copernicus. p. 61. ISBN 978-1-84800-000-1.
38. ^ "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
39. ^ Higgins, ibid.
40. ^ a b "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.