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6000 (number)

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← 5999 6000 6001 →
Cardinalsix thousand
Ordinal6000th
(six thousandth)
Factorization24 × 3 × 53
Greek numeral,Ϛ´
Roman numeralVM
Unicode symbol(s)VM, vm
Binary10111011100002
Ternary220200203
Senary434406
Octal135608
Duodecimal358012
Hexadecimal177016

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

Selected numbers in the range 6001–6999

  • 6025 – Rhythm guitarist of the Dead Kennedys from June 1978 to March 1979. Full name is Carlos Cadona.
  • 6028centered heptagonal number[1]
  • 6047safe prime
  • 6053Sophie Germain prime
  • 6069nonagonal number[2]
  • 6073balanced prime
  • 6084 – 782, sum of the cubes of the first twelve integers
  • 6089highly cototient number[3]
  • 6095magic constant of n × n normal magic square and n-Queens Problem for n = 23.
  • 6101 – Sophie Germain prime
  • 6105triangular number
  • 6113 – Sophie Germain prime
  • 6131 – Sophie Germain prime
  • 6143Thabit number
  • 6173 – Sophie Germain prime
  • 6174 – Kaprekar's constant
  • 6181octahedral number[4]
  • 6200harmonic divisor number[5]
  • 6201square pyramidal number[6]
  • 6211cuban prime of the form x = y + 1[7]
  • 6216 – triangular number
  • 6232amicable number with 6368
  • 6236 – Most widely accepted figure for the number of verses in the Qur'an[citation needed]
  • 6241 – 792, centered octagonal number[8]
  • 6250Leyland number[9]
  • 6263 – Sophie Germain prime, balanced prime
  • 6269 – Sophie Germain prime
  • 6280decagonal number[10]
  • 6317 – balanced prime
  • 6322 – centered heptagonal number[1]
  • 6323 – Sophie Germain prime, balanced 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]
  • 6348pentagonal pyramidal number[12]
  • 6364 – nonagonal number[2]
  • 6367 – balanced prime
  • 6368 – amicable number with 6232
  • 6373 – balanced prime
  • 6399 – smallest integer that cannot be expressed as a sum of fewer than 279 eighth powers
  • 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
  • 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
  • 6545tetrahedral 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)
  • 6561 – 38, 812, perfect totient number,[15] centered octagonal number[8]
  • 6599 – safe prime
  • 6563 – Sophie Germain prime
  • 6581 – Sophie Germain prime
  • 6601Carmichael number,[16] decagonal number[10]
  • 6623 – centered heptagonal number[1]
  • 6659 – safe prime
  • 6666 – nonagonal number
  • 6670 – triangular number
  • 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
  • 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
  • 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

See also

References

  1. ^ a b c d "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  2. ^ a b "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  3. ^ a b c d "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  4. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  5. ^ "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  6. ^ a b "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  7. ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  8. ^ a b c "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  9. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  10. ^ a b c "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  11. ^ Gardner, Martin (September–October 1997), "The numerology of Dr. Rashad Khalifa", Skeptical Inquirer[dead link]
  12. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  13. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  14. ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  15. ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  16. ^ "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  17. ^ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
  18. ^ "Sloane's A014575 : Vampire numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.