6000 (number)

Short description: Natural number

← 5999 6000 6001 →
List of numbers — Integers ← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
Cardinal	six thousand
Ordinal	6000th (six thousandth)
Factorization	24 × 3 × 53
Greek numeral	,Ϛ´
Roman numeral	VM, or VI
Unicode symbol(s)	VM, vm, VI, vi
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

6001 to 6099

• 6025 – Rhythm guitarist of the Dead Kennedys from June 1978 to March 1979. Full name is Carlos Cadona.
• 6028 – centered heptagonal number
• 6037 – super-prime, prime of the form 2p-1
• 6042 – 6042 Cheshirecat is a Mars-crossing asteroid.
• 6047 – safe prime
• 6053 – Sophie Germain prime
• 6069 – nonagonal number
• 6073 – balanced prime
• 6079 – The serial number Winston Smith is referred to as in the George Orwell novel Nineteen Eighty-Four
• 6084 = 78², sum of the cubes of the first twelve integers
• 6089 – highly cototient number
• 6095 – magic constant of n × n normal magic square and n-Queens Problem for n = 23.

6100 to 6199

• 6101 – Sophie Germain prime
• 6105 – triangular number
• 6113 – Sophie Germain prime, super-prime
• 6121 – prime of the form 2p-1
• 6131 – Sophie Germain prime, twin prime with 6133
• 6133 – 800th prime number, twin prime with 6131
• 6143 – Thabit number
• 6144 – 3-smooth number (2¹¹×3)
• 6173 – Sophie Germain prime
• 6174 – Kaprekar's constant
• 6181 – octahedral number

6200 to 6299

• 6200 – harmonic divisor number
• 6201 – square pyramidal number
• 6211 – cuban prime of the form x = y + 1
• 6216 – triangular number
• 6217 – super-prime, prime of the form 2p-1
• 6229 – super-prime
• 6232 – amicable number with 6368
• 6241 = 79², centered octagonal number
• 6250 – Leyland number
• 6263 – Sophie Germain prime, balanced prime
• 6269 – Sophie Germain prime
• 6280 – decagonal number

6300 to 6399

• 6311 – super-prime
• 6317 – balanced prime
• 6322 – centered heptagonal number
• 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.
• 6348 – pentagonal pyramidal number
• 6361 – prime of the form 2p-1, twin prime
• 6364 – nonagonal number
• 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
• 6466 – Markov number
• 6480 – smallest number with exactly 50 factors
• 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
• 6521 – Sophie Germain prime
• 6542 – number of primes [math]\displaystyle{ \leq 2^{16} }[/math].
• 6545 – tetrahedral number
• 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 = 81² = 9⁴ = 3⁸, perfect totient number, centered octagonal number
• 6563 – Sophie Germain prime
• 6581 – Sophie Germain prime
• 6599 – safe prime

6600 to 6699

• 6601 – Carmichael number, decagonal number
• 6623 – centered heptagonal number
• 6659 – safe prime
• 6666 – forty-fourth nonagonal number, and the 11th third-convolution of Fibonacci numbers. In Christian demonology it represents the number of demons in a legion of demons.
• 6670 – triangular number

6700 to 6799

• 6719 – safe prime, highly cototient number
• 6724 = 82²
• 6728 – number of domino tilings of a 6×6 checkerboard
• 6761 – Sophie Germain prime
• 6765 – 20th Fibonacci number
• 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
• 6841 - largest right-truncatable prime in base 7
• 6842 – number of parallelogram polyominoes with 12 cells
• 6859 = 19³
• 6863 – balanced prime
• 6879 – number of planar partitions of 15
• 6880 – vampire number
• 6889 = 83², centered octagonal number
• 6899 – Sophie Germain prime, safe prime

6900 to 6999

• 6903 – triangular number
• 6912 – 3-smooth number (2⁸×3³)
• 6924 – magic constant of n × n normal magic square and n-Queens Problem for n = 24.
• 6929 – highly cototient number
• 6930 – decagonal number, square pyramidal number
• 6931 – centered heptagonal number
• 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

Prime numbers

There are 117 prime numbers between 6000 and 7000:

6007, 6011, 6029, 6037, 6043, 6047, 6053, 6067, 6073, 6079, 6089, 6091, 6101, 6113, 6121, 6131, 6133, 6143, 6151, 6163, 6173, 6197, 6199, 6203, 6211, 6217, 6221, 6229, 6247, 6257, 6263, 6269, 6271, 6277, 6287, 6299, 6301, 6311, 6317, 6323, 6329, 6337, 6343, 6353, 6359, 6361, 6367, 6373, 6379, 6389, 6397, 6421, 6427, 6449, 6451, 6469, 6473, 6481, 6491, 6521, 6529, 6547, 6551, 6553, 6563, 6569, 6571, 6577, 6581, 6599, 6607, 6619, 6637, 6653, 6659, 6661, 6673, 6679, 6689, 6691, 6701, 6703, 6709, 6719, 6733, 6737, 6761, 6763, 6779, 6781, 6791, 6793, 6803, 6823, 6827, 6829, 6833, 6841, 6857, 6863, 6869, 6871, 6883, 6899, 6907, 6911, 6917, 6947, 6949, 6959, 6961, 6967, 6971, 6977, 6983, 6991, 6997

See also

• Year 6000