Properties of the Number 125

One Hundred Twenty-Five

Basics

Value: 124 → 125 → 126

Parity: odd

Prime: No

Previous Prime: 113

Next Prime: 127

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 5 ³

Divisors: 1, 5, 25, 125

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101

Octal: 175

Duodecimal: A5

Hexadecimal: 7d

Square: 15625

Square Root: 11.180339887498949

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: Yes

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: No

Friedman Number: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

Coordination sequence for planar net 3.3.3.3.6 (also called the fsz net). A250120

Expansion of ∏_k>=0 (1 + x^2k+1); number of partitions of n into distinct odd parts; number of self-conjugate partitions; number of symmetric Ferrers graphs with n nodes. A700

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

The cubes: a(n) = n³. A578

Completely multiplicative with a(prime(k)) = prime(k+1). A3961

Perfect powers: m^k where m > 0 and k >= 2. A1597

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

Numbers that are not squarefree. Numbers that are divisible by a square greater than 1. The complement of A005117. A13929

Powerful numbers, definition (1): if a prime p divides n then p² must also divide n (also called squareful, square full, square-full or 2-powerful numbers). A1694

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