127 (number)

127 (number)
127
Cardinal one hundred [and] twenty-seven
Ordinal 127th
(one hundred [and] twenty-seventh)
Factorization prime
Prime 31st
Roman numeral CXXVII
Binary 11111112
Octal 1778
Duodecimal A712
Hexadecimal 7F16

127 (one hundred [and] twenty-seven) is the natural number following 126 and preceding 128.

Contents

In mathematics

  • As a Mersenne prime, 127 is related to the perfect number 8128. 127 is also an exponent for the Mersenne prime 2127 - 1, making 127 a double Mersenne prime. (2127 - 1 was discovered by Edouard Lucas in 1876, and held the record for the largest known prime for 75 years. It's still the largest prime ever discovered by hand calculations.)
  • 127 is also a cuban prime of the form p = (x3y3) / (xy), x = y + 1. The next prime is 131, with which it comprises a cousin prime. Because the next odd number, 129, is a semiprime, 127 is a Chen prime. 127 is greater than the arithmetic mean of its two neighboring primes, thus it's a strong prime.
  • It is a nice Friedman number in base 10, since 127 = -1 + 27, as well as binary since 1111111 = (1 + 1)111 - 1 * 1.

In the military

In transportation

In other fields

127 is also:

See also

References


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