6000 (number)

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← 5999 6000 6001 →
Cardinal six thousand
Ordinal 6000th
(six thousandth)
Factorization 24× 3 × 53
Greek numeral ,Ϛ´
Roman numeral VM
Unicode symbol(s) VM, vm
Binary 10111011100002
Ternary 220200203
Quaternary 11313004
Quinary 1430005
Senary 434406
Octal 135608
Duodecimal 358012
Hexadecimal 177016
Vigesimal F0020
Base 36 4MO36

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

Selected numbers in the range 6001–6999[edit]

6001 to 6099[edit]

6100 to 6199[edit]

6200 to 6299[edit]

6300 to 6399[edit]

  • 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]
  • 6348pentagonal 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[edit]

  • 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[edit]

  • 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

6600 to 6699[edit]

  • 6601Carmichael number,[16] decagonal number[10]
  • 6623 – centered heptagonal number[1]
  • 6659 – safe prime
  • 6666 – nonagonal number
  • 6670 – triangular number

6700 to 6799[edit]

  • 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[edit]

  • 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[edit]

See also[edit]

References[edit]

  1. ^ a b c d "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-09. 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. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
  3. ^ a b c d "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
  4. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
  5. ^ "Sloane's A001599 : Harmonic or Ore numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-17. Retrieved 2016-06-14.
  6. ^ a b "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. Retrieved 2016-06-14.
  7. ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. 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. Archived from the original on 2016-06-23. Retrieved 2016-06-14.
  9. ^ "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-10. 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. Archived from the original on 2016-06-17. 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. Archived from the original on 2016-06-17. Retrieved 2016-06-14.
  13. ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-29. Retrieved 2016-06-14.
  14. ^ "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-13. Retrieved 2016-06-14.
  15. ^ "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-14. Retrieved 2016-06-14.
  16. ^ "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-08. Retrieved 2016-06-14.
  17. ^ "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-16. Retrieved 2016-06-14.
  18. ^ "Sloane's A014575 : Vampire numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Archived from the original on 2016-06-16. Retrieved 2016-06-14.