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← 106 107 108 →
Cardinalone hundred seven
Ordinal107th
(one hundred seventh)
Factorizationprime
Prime28th
Divisors1, 107
Greek numeralΡΖ´
Roman numeralCVII
Binary11010112
Ternary102223
Octal1538
Duodecimal8B12
Hexadecimal6B16

107 (one hundred [and] seven) is the natural number following 106 and preceding 108.

In mathematics

107 is the 28th prime number. The next prime is 109, with which it comprises a twin prime, making 107 a Chen prime.[1]

Plugged into the equation , 107 yields 162259276829213363391578010288127, a Mersenne prime.[2] 107 is itself a safe prime.[3]

It is the fourth Busy beaver number, the maximum number of steps that any Turing machine with 2 symbols and 4 states can make before eventually halting.[4]

In other fields

As "one hundred and seven", it is the smallest positive integer requiring six syllables in English (without the "and" it only has five syllables and seventy-seven is a smaller 5-syllable number).

107 is also:

In sports

See also

References

  1. ^ "Sloane's A109611 : Chen primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  2. ^ "Sloane's A000043 : Mersenne exponents". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  3. ^ "Sloane's A005385 : Safe primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-27.
  4. ^ "Sloane's A060843 : Busy Beaver problem: number of steps before halting". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-09-24.