Properties of the Number 126

One Hundred Twenty-Six

Basics

Value: 125 → 126 → 127

Parity: even

Prime: No

Previous Prime: 113

Next Prime: 127

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110

Octal: 176

Duodecimal: A6

Hexadecimal: 7e

Square: 15876

Square Root: 11.224972160321824

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: No

Friedman Number: Yes

Fermat Number: No

Cullen Number: No

OEIS Sequences

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

Pascal's triangle read by rows: C(n,k) = binomial(n,k) = n!/(k!*(n-k)!), 0 <= k <= n. A7318

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

Triangle read by rows: T(n,k) = ∑_j>=0 j!*T(n-j-1, k-1) for n >= 0, k >= 0. A84938

Numbers k such that (11·10^k + 19)/3 is prime. A270339

a(n) = binomial(n, floor(n/2)). A1405

a(n) = binomial(2·n+1, n+1): number of ways to put n+1 indistinguishable balls into n+1 distinguishable boxes = number of (n+1)-st degree monomials in n+1 variables = number of monotone maps from 1..n+1 to 1..n+1. A1700

Abundant numbers (sum of divisors of m exceeds 2m). A5101

Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24. A332

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