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107 (number)

From Wikipedia, the free encyclopedia
← 106 107 108 →
Cardinalone hundred seven
Ordinal107th
(one hundred seventh)
Factorizationprime
Prime28th
Divisors1, 107
Greek numeralΡΖ´
Roman numeralCVII
Binary11010112
Ternary102223
Senary2556
Octal1538
Duodecimal8B12
Hexadecimal6B16

107(one hundred [and] seven) is thenatural numberfollowing106and preceding108.

In mathematics

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107 is the 28thprime number.The next prime is109,with which it comprises atwin prime,making 107 aChen prime.[1]

Plugged into the expression,107 yields 162259276829213363391578010288127, aMersenne prime.[2]107 is itself asafe prime.[3]

It is the fourthBusy beavernumber, the maximum number of steps that anyTuring machinewith 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 ninthemirp,because reversing its digits gives another prime number (701)

In other fields

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

107is also:

In sports

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See also

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References

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  1. ^"Sloane's A109611: Chen primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-05-27.
  2. ^"Sloane's A000043: Mersenne exponents".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-05-27.
  3. ^"Sloane's A005385: Safe primes".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2016-05-27.
  4. ^"Sloane's A060843: Busy Beaver problem: number of steps before halting".The On-Line Encyclopedia of Integer Sequences.OEIS Foundation.Retrieved2021-09-24.
  5. ^Sloane, N. J. A.(ed.)."Sequence A006785 (Number of triangle-free graphs on n vertices)".TheOn-Line Encyclopedia of Integer Sequences.OEIS Foundation.