107 (number)

Last updated
106 107 108
Cardinal one hundred seven
Ordinal 107th
(one hundred seventh)
Factorization prime
Prime 28th
Divisors 1, 107
Greek numeral ΡΖ´
Roman numeral CVII
Binary 11010112
Ternary 102223
Senary 2556
Octal 1538
Duodecimal 8B12
Hexadecimal 6B16

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

Contents

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 expression , 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]

It is the number of triangle-free graphs on 7 vertices. [5]

It is the ninth emirp, because reversing its digits gives another prime number (701)

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

Related Research Articles

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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.
  5. Sloane, N. J. A. (ed.). "SequenceA006785(Number of triangle-free graphs on n vertices)". The On-Line Encyclopedia of Integer Sequences . OEIS Foundation.