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m 92706 as the solution to the KAYAK question on SPORT
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* '''91,125''' = 45<sup>3</sup>
* '''91,125''' = 45<sup>3</sup>
* '''91,144''' = Fine number<ref>{{cite OEIS|A000957|Fine's sequence (or Fine numbers): number of relations of valence >= 1 on an n-set; also number of ordered rooted trees with n edges having root of even degree|access-date=2022-06-01}}</ref>
* '''91,144''' = Fine number<ref>{{cite OEIS|A000957|Fine's sequence (or Fine numbers): number of relations of valence >= 1 on an n-set; also number of ordered rooted trees with n edges having root of even degree|access-date=2022-06-01}}</ref>
* '''92,706''' = There is a math puzzle called KAYAK + KAYAK + KAYAK + KAYAK + KAYAK + KAYAK = SPORT, where each letter represents a digit. When one solves the puzzle, KAYAK = 15451, and when one added this up, SPORT = 92,706. <ref>https://www.mathsisfun.com/puzzles/kayak-solution.html</ref>
* '''93,312''' = [[Leyland number]]: 6<sup>6</sup> + 6<sup>6</sup>.<ref name=":0">{{Cite web|url=https://oeis.org/A076980|title=Sloane's A076980 : Leyland numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref> Also a 3-smooth number.
* '''93,312''' = [[Leyland number]]: 6<sup>6</sup> + 6<sup>6</sup>.<ref name=":0">{{Cite web|url=https://oeis.org/A076980|title=Sloane's A076980 : Leyland numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref> Also a 3-smooth number.
* '''94,249''' = [[palindromic number|palindromic]] square: 307<sup>2</sup>
* '''94,249''' = [[palindromic number|palindromic]] square: 307<sup>2</sup>

Revision as of 20:37, 21 September 2023

← 89999 90000 90001 →
Cardinalninety thousand
Ordinal90000th
(ninety thousandth)
Factorization24 × 32 × 54
Greek numeral
Roman numeralXC
Binary101011111100100002
Ternary111201101003
Senary15324006
Octal2576208
Duodecimal4410012
Hexadecimal15F9016

90,000 (ninety thousand) is the natural number following 89,999 and preceding 90,001. It is the sum of the cubes of the first 24 positive integers, and is the square of 300.

Selected numbers in the range 90,000–99,999

  • 90,625 = the only five-digit automorphic number: 906252 = 8212890625[1]
  • 91,125 = 453
  • 91,144 = Fine number[2]
  • 92,706 = There is a math puzzle called KAYAK + KAYAK + KAYAK + KAYAK + KAYAK + KAYAK = SPORT, where each letter represents a digit. When one solves the puzzle, KAYAK = 15451, and when one added this up, SPORT = 92,706. [3]
  • 93,312 = Leyland number: 66 + 66.[4] Also a 3-smooth number.
  • 94,249 = palindromic square: 3072
  • 94,932 = Leyland number: 75 + 57[4]
  • 95,121 = Kaprekar number: 951212 = 9048004641; 90480 + 04641 = 95121[5]
  • 96,557 = Markov number: 52 + 64662 + 965572 = 3 × 5 × 6466 × 96557[6]
  • 97,336 = 463, the largest 5-digit cube
  • 98,304 = 3-smooth number
  • 99,066 = largest number whose square uses all of the decimal digits once: 990662 = 9814072356. It is also strobogrammatic in decimal.
  • 99,856 = 3162, the largest 5-digit square
  • 99,991 = largest five-digit prime number
  • 99,999 = repdigit, Kaprekar number: 999992 = 9999800001; 99998 + 00001 = 99999[5]

References

  1. ^ "Sloane's A003226 : Automorphic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
  2. ^ Sloane, N. J. A. (ed.). "Sequence A000957". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-01.
  3. ^ https://www.mathsisfun.com/puzzles/kayak-solution.html
  4. ^ a b "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
  5. ^ a b "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
  6. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.