Properties of the Number 127

One Hundred Twenty-Seven

Basics

Value: 126 → 127 → 128

Parity: odd

Prime: Yes

Previous Prime: 113

Next Prime: 131

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 127

Divisors: 1, 127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111

Octal: 177

Duodecimal: A7

Hexadecimal: 7f

Square: 16129

Square Root: 11.269427669584644

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: Yes

Friedman Number: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

The prime numbers. A40

a(n) = σ(n), the sum of the divisors of n. Also called sigma₁(n). A203

a(n) = 2ⁿ - 1. (Sometimes called Mersenne numbers, although that name is usually reserved for A001348.) A225

The odd numbers: a(n) = 2·n + 1. A5408

Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1). A961

Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime. A43

Triangle of Stirling numbers of the second kind, S2(n,k), n >= 1, 1 <= k <= n. A8277

Mersenne primes (primes of the form 2ⁿ - 1). A668

Prime numbers at the beginning of the 20th century (today 1 is no longer regarded as a prime). A8578

Motzkin numbers: number of ways of drawing any number of nonintersecting chords joining n (labeled) points on a circle. A1006

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