6000 (number)

"6,000" redirects here. For the Jewish year, see Year 6000. For other uses, see 6000 (disambiguation).

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Natural number

| <- 5999  | 6000 |  6001 ->

|
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* 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
Senary| 434406
Octal| 135608
Duodecimal| 358012
Hexadecimal| 177016
Armenian| Ց

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

## Selected numbers in the range 6001–6999

[edit]

### 6001 to 6099

[edit]

* 6025 – Stage name of rhythm guitarist of the Dead Kennedys from June 1978 to March 1979. Full name is Carlos Cadona.
* 6028 – centered heptagonal number[1]
* 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[2]
* 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
* 6081 \- sum of the first 54 primes
* 6089 – highly cototient number[3]
* 6095 – magic constant of n × n normal magic square and n-Queens Problem for n = 23.

### 6100 to 6199

[edit]

* 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[4]

### 6200 to 6299

[edit]

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

### 6300 to 6399

[edit]

* 6311 – super-prime
* 6317 – balanced prime
* 6322 – centered heptagonal number[1]
* 6323 – Sophie Germain prime, balanced prime, super-prime
* 6328 – triangular number
* 6329 – Sophie Germain prime
* 6337 \- star prime
* 6338 \- sum of the first 55 primes
* 6346 – Number of verses in the Qur'an according to the sect founded by Rashad Khalifa.[10]
* 6348 – pentagonal pyramidal number[11]
* 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
* 6466 – Markov number[12]
* 6480 – smallest number with exactly 50 factors
* 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[13]
* 6521 – Sophie Germain prime
* 6542 – number of primes  ≤ 2 16 {\displaystyle \leq 2^{16}} .[14]
* 6545 – tetrahedral number[15]
* 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[16]
* 6563 – Sophie Germain prime
* 6581 – Sophie Germain prime
* 6599 – safe prime

### 6600 to 6699

[edit]

* 6601 \- Carmichael number,[17] decagonal number,[9] sum of the first 56 primes
* 6623 – centered heptagonal number[1]
* 6659 – safe prime
* 6666 – forty-fourth nonagonal number,[2] and the 11th third-convolution of Fibonacci numbers.[18] In Christian demonology it represents the number of demons in a legion of demons.[citation needed]
* 6670 – triangular number,[19] centered nonagonal number,[20] centered 19-gonal number,[21]

### 6700 to 6799

[edit]

* 6719 – safe prime, highly cototient number[13]
* 6724 = 822
* 6733 \- star prime
* 6728 – number of domino tilings of a 6×6 checkerboard
* 6761 – Sophie Germain prime
* 6765 – 20th Fibonacci number[22]
* 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
* 6841 \- largest right-truncatable prime in base 7
* 6842 – number of parallelogram polyominoes with 12 cells[23]
* 6859 = 193
* 6863 – balanced prime
* 6870 \- sum of the first 57 primes
* 6879 – number of planar partitions of 15[24]
* 6880 – vampire number[25]
* 6889 = 832, centered octagonal number[7]
* 6899 – Sophie Germain prime, safe prime

### 6900 to 6999

[edit]

* 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[13]
* 6930 – decagonal number,[9] 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

### Prime numbers

[edit]

There are 117 prime numbers between 6000 and 7000:[26][27]

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

[edit]

* Year 6000

## References

[edit]

1. ^ a b c d Sloane, N. J. A. (ed.). "Sequence A069099 (Centered heptagonal numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. ^ a b c Sloane, N. J. A. (ed.). "Sequence A001106 (9-gonal (or enneagonal or nonagonal) numbers: a(n) = n*(7*n-5)/2.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
3. ^ Sloane, N. J. A. (ed.). "Sequence A100827 (Highly cototient numbers: records for a(n) in A063741.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
4. ^ Sloane, N. J. A. (ed.). "Sequence A005900 (Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
5. ^ Sloane, N. J. A. (ed.). "Sequence A001599 (Harmonic or Ore numbers: numbers k such that the harmonic mean of the divisors of k is an integer.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
6. ^ a b Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
7. ^ a b Sloane, N. J. A. (ed.). "Sequence A016754 (Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
8. ^ Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers: 3, together with numbers expressible as n^k + k^n nontrivially, i.e., n,k > 1 (to avoid n = (n-1)^1 + 1^(n-1)).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
9. ^ a b c Sloane, N. J. A. (ed.). "Sequence A001107 (10-gonal (or decagonal) numbers: a(n) = n*(4*n-3).)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
10. ^ Gardner, Martin (September–October 1997), "The numerology of Dr. Rashad Khalifa", Skeptical Inquirer, archived from the original on 2004-09-27
11. ^ Sloane, N. J. A. (ed.). "Sequence A002411 (Pentagonal pyramidal numbers: a(n) = n^2*(n+1)/2.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
12. ^ Sloane, N. J. A. (ed.). "Sequence A002559 (Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
13. ^ a b c Sloane, N. J. A. (ed.). "Sequence A100827 (Highly cototient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
14. ^ Sloane, N. J. A. (ed.). "Sequence A007053 (Number of primes <= 2^n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
15. ^ Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral (or triangular pyramidal) numbers: a(n) = C(n+2,3) = n*(n+1)*(n+2)/6.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
16. ^ Sloane, N. J. A. (ed.). "Sequence A082897 (Perfect totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
17. ^ Sloane, N. J. A. (ed.). "Sequence A002997 (Carmichael numbers: composite numbers k such that a^(k-1) == 1 (mod k) for every a coprime to k.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
18. ^ Sloane, N. J. A. (ed.). "Sequence A001628 (Convolved Fibonacci numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
19. ^ Sloane, N. J. A. (ed.). "Sequence A000217 (Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
20. ^ Sloane, N. J. A. (ed.). "Sequence A060544 (Centered 9-gonal (also known as nonagonal or enneagonal) numbers. Every third triangular number, starting with a(1)=1)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
21. ^ Sloane, N. J. A. (ed.). "Sequence A069132 (Centered 19-gonal numbers.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
22. ^ Sloane, N. J. A. (ed.). "Sequence A000045 (Fibonacci numbers: F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
23. ^ Sloane, N. J. A. (ed.). "Sequence A006958 (Number of parallelogram polyominoes with n cells (also called staircase polyominoes, although that term is overused))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
24. ^ Sloane, N. J. A. (ed.). "Sequence A000219 (Number of planar partitions (or plane partitions) of n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
25. ^ Sloane, N. J. A. (ed.). "Sequence A014575 (Vampire numbers (definition 2): numbers n with an even number of digits which have a factorization n = i*j where i and j have the same number of digits and the multiset of the digits of n coincides with the multiset of the digits of i and j.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
26. ^ Sloane, N. J. A. (ed.). "Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
27. ^ Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved 6 February 2021.

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* t
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Integers

* 0
* 1
* 2
* 3
* 4
* 5
* 6
* 7
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100s

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200s

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300s

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400s

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600s

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* 681
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700s

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* 710
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* 713
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* 720
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* 730
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800s

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900s

* 900
* 901
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* 906
* 907
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* 910
* 911
* 912
* 913
* 914
* 915
* 916
* 917
* 918
* 919

* 920
* 921
* 922
* 923
* 924
* 925
* 926
* 927
* 928
* 929

* 930
* 931
* 932
* 933
* 934
* 935
* 936
* 937
* 938
* 939

* 940
* 941
* 942
* 943
* 944
* 945
* 946
* 947
* 948
* 949

* 950
* 951
* 952
* 953
* 954
* 955
* 956
* 957
* 958
* 959

* 960
* 961
* 962
* 963
* 964
* 965
* 966
* 967
* 968
* 969

* 970
* 971
* 972
* 973
* 974
* 975
* 976
* 977
* 978
* 979

* 980
* 981
* 982
* 983
* 984
* 985
* 986
* 987
* 988
* 989

* 990
* 991
* 992
* 993
* 994
* 995
* 996
* 997
* 998
* 999

1000s

* 1000
* 1000
* 1023
* 1024
* 1089
* 1093
* 1105
* 1234
* 1289
* 1458
* 1510
* 1728
* 1729
* 1980
* 1987
* 2000
* 2016
* 2520
* 3000
* 3511
* 4000
* 4104
* 5000
* 5040
* 6000
* 6174
* 7000
* 7744
* 7825
* 8000
* 8128
* 8192
* 9000
* 9855
* 9999

* 10,000
* 16,807
* 20,000
* 30,000
* 40,000
* 50,000
* 60,000
* 64,079
* 65,535
* 65,536
* 65,537
* 70,000
* 80,000
* 90,000

* 100,000
* 142,857
* 144,000
* 1,000,000
* 10,000,000
* 43,112,609
* 100,000,000
* 1,000,000,000
* 2,147,483,647
* 4,294,967,295
* 10,000,000,000
* 100,000,000,000

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