90,000: Difference between revisions
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* '''95,420''' = number of 22-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref>{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed}}</ref> |
* '''95,420''' = number of 22-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed<ref>{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed}}</ref> |
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* '''96,557''' = [[Markov number]]: 5<sup>2</sup> + 6466<sup>2</sup> + 96557<sup>2</sup> = 3 × 5 × 6466 × 96557<ref>{{Cite web|url=https://oeis.org/A002559|title=Sloane's A002559 : Markoff (or Markov) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref> |
* '''96,557''' = [[Markov number]]: 5<sup>2</sup> + 6466<sup>2</sup> + 96557<sup>2</sup> = 3 × 5 × 6466 × 96557<ref>{{Cite web|url=https://oeis.org/A002559|title=Sloane's A002559 : Markoff (or Markov) numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-06-16}}</ref> |
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* '''97,104''' = Appeared in [[Numberblocks]] More to Explore |
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* '''97,336''' = 46<sup>3</sup>, the largest 5-digit cube |
* '''97,336''' = 46<sup>3</sup>, the largest 5-digit cube |
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* '''98,304''' = 3-[[smooth number]] |
* '''98,304''' = 3-[[smooth number]] |
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Revision as of 23:16, 1 September 2024
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|---|---|---|---|---|
| Cardinal | ninety thousand | |||
| Ordinal | 90000th (ninety thousandth) | |||
| Factorization | 24 × 32 × 54 | |||
| Greek numeral | ||||
| Roman numeral | XC | |||
| Binary | 101011111100100002 | |||
| Ternary | 111201101003 | |||
| Senary | 15324006 | |||
| Octal | 2576208 | |||
| Duodecimal | 4410012 | |||
| Hexadecimal | 15F9016 | |||
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[clarification needed][2]
- 92,205 = number of 23-bead necklaces (turning over is allowed) where complements are equivalent[3]
- 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. [4]
- 93,312 = Leyland number: 66 + 66.[5] Also a 3-smooth number.
- 94,249 = palindromic square: 3072
- 94,932 = Leyland number: 75 + 57[5]
- 95,121 = Kaprekar number: 951212 = 9048004641; 90480 + 04641 = 95121[6]
- 95,420 = number of 22-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[7]
- 96,557 = Markov number: 52 + 64662 + 965572 = 3 × 5 × 6466 × 96557[8]
- 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[6]
Primes
There are 879 prime numbers between 90000 and 100000.
References
- ^ "Sloane's A003226 : Automorphic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
- ^ Sloane, N. J. A. (ed.). "Sequence A000957". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-06-01.
- ^ Sloane, N. J. A. (ed.). "Sequence A000011 (Number of n-bead necklaces (turning over is allowed) where complements are equivalent)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "KAYAK Puzzle - Solution".
- ^ a b "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
- ^ a b "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
- ^ Sloane, N. J. A. (ed.). "Sequence A000013 (Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
- ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-16.
External links
Media related to 90000 (number) at Wikimedia Commons
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