6000 (number)

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← 5999 6000 6001 →
Cardinalsix thousand
Ordinal6000th
(six thousandth)
Factorization24 × 3 × 53
Greek numeral,Ϛ´
Roman numeralVM, or VI
Unicode symbol(s)VM, vm, VI, vi
Binary10111011100002
Ternary220200203
Quaternary11313004
Quinary1430005
Senary434406
Octal135608
Duodecimal358012
Hexadecimal177016
VigesimalF0020
Base 364MO36

6000 (six thousand) is the natural number following 5999 and preceding 6001.

Selected numbers in the range 6001–6999

6001 to 6099

6100 to 6199

  • 6101 – Sophie Germain prime
  • 6105triangular number
  • 6113 – Sophie Germain prime, super-prime
  • 6121 – prime of the form 2p-1
  • 6131 – Sophie Germain prime
  • 6133 – 800th prime number
  • 6143Thabit number
  • 6173 – Sophie Germain prime
  • 6174 – Kaprekar's constant
  • 6181 – octahedral number[4]

6200 to 6299

  • 6200harmonic divisor number[5]
  • 6201 – square pyramidal number[6]
  • 6211cuban prime of the form x = y + 1[7]
  • 6216 – triangular number
  • 6217super-prime, prime of the form 2p-1
  • 6229super-prime
  • 6232 – amicable number with 6368
  • 6236 – Most widely accepted figure for the number of verses in the Qur'an * 6241 – 792, centered octagonal number[8]
  • 6250Leyland number[9]
  • 6263 – Sophie Germain prime, balanced prime
  • 6269 – Sophie Germain prime
  • 6280 – decagonal number[10]

6300 to 6399

  • 6311super-prime
  • 6317 – balanced prime
  • 6322 – centered heptagonal number[1]
  • 6323 – Sophie Germain prime, balanced prime, super-prime
  • 6328 – triangular number
  • 6329 – Sophie Germain prime
  • 6346 – Number of verses in the Qur'an according to the sect founded by Rashad Khalifa.[11]
  • 6348 – pentagonal pyramidal number[12]
  • 6361 – prime of the form 2p-1, twin prime
  • 6364 – nonagonal number[2]
  • 6367 – balanced prime
  • 6368 – amicable number with 6232
  • 6373 – balanced prime, sum of three and seven consecutive primes (2113 + 2129 + 2131 and 883 + 887 + 907 + 911 + 919 + 929 +937)
  • 6397 – sum of three consecutive primes (2129 + 2131 + 2137)
  • 6399 – smallest integer that cannot be expressed as a sum of fewer than 279 eighth powers

6400 to 6499

  • 6400 – 802
  • 6408 – sum of the squares of the first thirteen primes
  • 6441 – triangular number
  • 6449 – Sophie Germain prime
  • 6466Markov number[13]
  • 6491 – Sophie Germain prime

6500 to 6599

  • 6502 – model number of the MOS Technology 6502 which equipped early computers such as the Apple I and II, Commodore PET, Atari and others.
  • 6509 – highly cototient number[3]
  • 6521 – Sophie Germain prime
  • 6545 – tetrahedral number[14]
  • 6551 – Sophie Germain prime
  • 6555 – triangular number
  • 6556 – member of a Ruth-Aaron pair with 6557 (first definition)
  • 6557 – member of a Ruth-Aaron pair with 6556 (first definition)
  • 6561power of three: 38, 812, perfect totient number,[15] centered octagonal number[8]
  • 6599 – safe prime
  • 6563 – Sophie Germain prime
  • 6581 – Sophie Germain prime Hridoy ahamed Taijul 77

6600 to 6699

  • 6601Carmichael number,[16] decagonal number[10]
  • 6623 – centered heptagonal number[1]
  • 6659 – safe prime
  • 6666 – nonagonal number; the number of demons in a legion of demons
  • 6670 – triangular number

6700 to 6799

  • 6719 – safe prime, highly cototient number[3]
  • 6724 – 822
  • 6728 – number of domino tilings of a 6×6 checkerboard
  • 6761 – Sophie Germain prime
  • 6765 – 20th Fibonacci number[17]
  • 6779 – safe prime
  • 6786 – triangular number

6800 to 6899

  • 6811 – member of a Ruth-Aaron pair with 6812 (first definition)
  • 6812 – member of a Ruth-Aaron pair with 6811 (first definition)
  • 6827 – safe prime
  • 6859 – 193
  • 6863 – balanced prime
  • 6880vampire number[18]
  • 6889 – 832, centered octagonal number[8]
  • 6899 – Sophie Germain prime, safe prime

6900 to 6999

  • 6903 – triangular number
  • 6924magic constant of n × n normal magic square and n-Queens Problem for n = 24.
  • 6929 – highly cototient number[3]
  • 6930 – decagonal number,[10] square pyramidal number[6]
  • 6931 – centered heptagonal number[1]
  • 6969 – 2015 comedic progressive rock song by the band Ninja Sex Party
  • 6975 – nonagonal number
  • 6977 – balanced prime
  • 6983 – Sophie Germain prime, safe prime
  • 6997 – 900th prime number

See also

  • Year 6000

References

  1. 1.0 1.1 1.2 1.3 "Sloane's A069099 : Centered heptagonal numbers". OEIS Foundation. Archived from the original on 2016-06-09. https://web.archive.org/web/20160609232609/https://oeis.org/A069099. 
  2. 2.0 2.1 "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610053219/https://oeis.org/A001106. 
  3. 3.0 3.1 3.2 3.3 "Sloane's A100827 : Highly cototient numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610065744/https://oeis.org/A100827. 
  4. "Sloane's A005900 : Octahedral numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610061829/https://oeis.org/A005900. 
  5. "Sloane's A001599 : Harmonic or Ore numbers". OEIS Foundation. Archived from the original on 2016-06-17. https://web.archive.org/web/20160617102234/https://oeis.org/A001599. 
  6. 6.0 6.1 "Sloane's A000330 : Square pyramidal numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610053416/https://oeis.org/A000330. 
  7. "Sloane's A002407 : Cuban primes". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610045925/https://oeis.org/A002407. 
  8. 8.0 8.1 8.2 "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". OEIS Foundation. Archived from the original on 2016-06-23. https://web.archive.org/web/20160623170136/https://oeis.org/A016754. 
  9. "Sloane's A076980 : Leyland numbers". OEIS Foundation. Archived from the original on 2016-06-10. https://web.archive.org/web/20160610064834/https://oeis.org/A076980. 
  10. 10.0 10.1 10.2 "Sloane's A001107 : 10-gonal (or decagonal) numbers". OEIS Foundation. Archived from the original on 2016-06-17. https://web.archive.org/web/20160617045914/https://oeis.org/A001107. 
  11. Gardner, Martin (September–October 1997), "The numerology of Dr. Rashad Khalifa", Skeptical Inquirer, archived from the original on 2004-09-27, https://web.archive.org/web/20040927010219/http://findarticles.com/p/articles/mi_m2843/is_n5_v21/ai_20121071 
  12. "Sloane's A002411 : Pentagonal pyramidal numbers". OEIS Foundation. Archived from the original on 2016-06-17. https://web.archive.org/web/20160617060238/https://oeis.org/A002411. 
  13. "Sloane's A002559 : Markoff (or Markov) numbers". OEIS Foundation. Archived from the original on 2016-06-29. https://web.archive.org/web/20160629173950/http://oeis.org/A002559. 
  14. "Sloane's A000292 : Tetrahedral numbers". OEIS Foundation. Archived from the original on 2016-06-13. https://web.archive.org/web/20160613134333/http://oeis.org/A000292. 
  15. "Sloane's A082897 : Perfect totient numbers". OEIS Foundation. Archived from the original on 2016-06-14. https://web.archive.org/web/20160614232003/http://oeis.org/A082897. 
  16. "Sloane's A002997 : Carmichael numbers". OEIS Foundation. Archived from the original on 2016-06-08. https://web.archive.org/web/20160608074320/http://oeis.org/A002997. 
  17. "Sloane's A000045 : Fibonacci numbers". OEIS Foundation. Archived from the original on 2016-06-16. https://web.archive.org/web/20160616135436/http://oeis.org/A000045. 
  18. "Sloane's A014575 : Vampire numbers". OEIS Foundation. Archived from the original on 2016-06-16. https://web.archive.org/web/20160616072932/http://oeis.org/A014575. 






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