Properties of the Number 42

Forty-Two

Basics

Value: 41 → 42 → 43

Parity: even

Prime: No

Previous Prime: 41

Next Prime: 43

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101010

Octal: 52

Duodecimal: 36

Hexadecimal: 2a

Square: 1764

Square Root: 6.48074069840786

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: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

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

Euler totient function φ(n): count numbers <= n and prime to n. A10

Catalan numbers: C(n) = binomial(2n,n)/(n+1) = (2n)!/(n!(n+1)!). A108

a(n) is the number of partitions of n (the partition numbers). A41

The positive integers. Also called the natural numbers, the whole numbers or the counting numbers, but these terms are ambiguous. A27

Squarefree numbers: numbers that are not divisible by a square greater than 1. A5117

Number of reduced words of length n in Coxeter group on 7 generators S_i with relations (S_i)² = (S_i S_j)³³ = I. A169452

Largest squarefree number dividing n: the squarefree kernel of n, rad(n), radical of n. A7947

The composite numbers: numbers n of the form x·y for x > 1 and y > 1. A2808

The nonnegative integers. A1477

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