9000 (number)
Appearance
| ||||
---|---|---|---|---|
Cardinal | nine thousand | |||
Ordinal | 9000th (nine thousandth) | |||
Factorization | 23 × 32 × 53 | |||
Greek numeral | ,Θ´ | |||
Roman numeral | MX, or IX | |||
Unicode symbol(s) | MX, mx, IX, ix | |||
Binary | 100011001010002 | |||
Ternary | 1101001003 | |||
Senary | 1054006 | |||
Octal | 214508 | |||
Duodecimal | 526012 | |||
Hexadecimal | 232816 |
9000 (nine thousand) is the natural number following 8999 and preceding 9001.
Selected numbers in the range 9001–9999
9001 to 9099
- 9009 – centered cube number[1]
- 9025 – 952, centered octagonal number
- 9029 – Sophie Germain prime
- 9041 – super-prime
- 9045 – triangular number
- 9059 – Sophie Germain prime
- 9072 – decagonal number
- 9077 – Markov number[2]
- 9091 – unique prime[3]
9100 to 9199
- 9103 – super-prime
- 9126 – pentagonal pyramidal number[4]
- 9139 – tetrahedral number[5]
- 9175 – smallest (provable) generalized Sierpiński number in base 10: 9175*10n+1 is always divisible by one of the prime numbers {7, 11, 13, 37}.[6]
- 9180 – triangular number
9200 to 9299
- 9216 – 962
- 9221 – Sophie Germain prime
- 9224 – octahedral number[7]
- 9241 – cuban prime of the form x = y + 1[8]
- 9261 – 213, largest 4 digit perfect cube
- 9272 – weird number[9]
- 9283 – centered heptagonal number
- 9293 – Sophie Germain prime, super-prime
9300 to 9399
- 9316 – triangular number
- 9319 – super-prime
- 9334 – nonagonal number
- 9349 – Lucas prime,[10] Fibonacci number
- 9371 – Sophie Germain prime
- 9376 – 1-automorphic number
- 9397 – balanced prime
9400 to 9499
- 9403 – super-prime
- 9409 – 972, centered octagonal number
- 9419 – Sophie Germain prime
- 9439 – completes the twelfth prime quadruplet set
- 9453 – triangular number
- 9455 – square pyramidal number[11]
- 9457 – decagonal number
- 9461 – super-prime, twin prime
- 9467 – safe prime
- 9473 – Sophie Germain prime, balanced prime, Proth prime
- 9479 – Sophie Germain prime
9500 to 9599
- 9539 – Sophie Germain prime, super-prime
- 9551 – first prime followed by as many as 35 consecutive composite numbers
- 9587 – safe prime, follows 35 consecutive composite numbers
- 9591 – triangular number
9600 to 9699
- 9601 – Proth prime
- 9604 – 982
- 9619 – super-prime
- 9629 – Sophie Germain prime
- 9647 – centered heptagonal number
- 9661 – super-prime, sum of nine consecutive primes (1049 + 1051 + 1061 + 1063 + 1069 + 1087 + 1091 + 1093 + 1097)
- 9689 – Sophie Germain prime
- 9699 – nonagonal number
9700 to 9799
- 9721 – prime of the form 2p-1
- 9730 – triangular number
- 9739 – super-prime
- 9743 – safe prime
- 9791 – Sophie Germain prime
9800 to 9899
- 9800 – member of a Ruth-Aaron pair (first definition) with 9801
- 9801 – 992, centered octagonal number, member of a Ruth-Aaron pair (first definition) with 9800
- 9833 – super-prime
- 9839 – safe prime
- 9850 – decagonal number
- 9855 – magic constant of n × n normal magic square and n-Queens Problem for n = 27.
- 9857 – Proth prime
- 9859 – super-prime
- 9870 – triangular number
- 9871 – balanced prime
- 9880 – tetrahedral number[5]
- 9887 – safe prime
9900 to 9999
- 9901 – unique prime, sum of seven consecutive primes (1381 + 1399 + 1409 + 1423 + 1427 + 1429 + 1433)[3]
- 9923 – super-prime, probably smallest certainly executable prime number on x86 MS-DOS [12]
- 9949 – sum of nine consecutive primes (1087 + 1091 + 1093 + 1097 + 1103 + 1109 + 1117 + 1123 + 1129)
- 9973 – super-prime, largest four-digit prime
- 9999 – Kaprekar number, Repdigit
References
- ^ "Sloane's A005898 : Centered cube numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ a b "Sloane's A040017 : Unique period primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ a b "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ Brunner, Amy; Caldwell, Chris K.; Krywaruczenko, Daniel and Lownsdale, Chris. "GENERALIZED SIERPIŃSKI NUMBERS BASE b" (PDF). University of Tennessee at Martin.
{{cite web}}
: CS1 maint: multiple names: authors list (link) - ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ "Sloane's A005479 : Prime Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
- ^ An Executable Prime Number?, archived from the original on 2010-02-10