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Home > 127 (number)


Integers

127 is the natural number following 126 and preceding 128.

#REDIRECT Numbers (120s)
CardinalOne hundred [and]
twenty-seven
Ordinal127th
Factorizationprime number
Roman numeralCXXVII
Binary1111111
Hexadecimal7F

1 In mathematics

One hundred twenty-seven is a Mersenne prime, 27 - 1, and as such, in binary it is a repunit prime, a permutable prime and a palindromic prime. This also means it is the largest integer that can be represented by a signed byte. As a Mersenne prime, 127 is related to the perfect number 81288,128 is the natural number following 8,127 and preceding 8,129. It is most notable for being a perfect number, and one of the earliest numbers to be recognized as such. As a perfect number, it is tied to the Mersenne prime 127, 27 1, with 26 ( 27 1 ) yie. 127 is also a cuban primeA cuban prime is a prime number that is a solution to one of two different specific equations involving third powers of x and y''. The first of these equations is and the first few cuban primes from this equation are 7, 19, 37, 61, 127, 271, 331, 397, 547 of the form , .

127 is a centered hexagonal numberA centered hexagonal number or hex number is a centered figurate number that represents a hexagon with a dot in the center and all other dots surrounding the center dot in successive hexagonal layers. The centered hexagonal number for n is given by the fo.

It is the 7th Motzkin numberA Motzkin number for a given number n is the number of different ways of drawing non-intersecting chords on a circle between n points. The Motzkin numbers have very diverse applications in geometry, combinatorics and number theory. The first few Motzkin n.

It is a nice Friedman numberA Friedman number is an integer which in a given base is the result of an expression using its own digits in combination with any of the four basic arithmetic operators (+, ×, ÷) and sometimes exponentiation. For example, 347 is a Friedman number since 34 in base 10, since 127 = -1 + 27, as well as binary since 1111111 = (1 + 1)111 - 1 * 1.

2 In other fields

One hundred twenty-seven is also:





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