Properties of the Number 42832

Forty-Two Thousand Eight Hundred Thirty-Two

Basics

Value: 42831 → 42832 → 42833

Parity: even

Prime: No

Previous Prime: 42829

Next Prime: 42839

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 2677

Divisors: 1, 2, 4, 8, 16, 2677, 5354, 10708, 21416, 42832

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010011101010000

Octal: 123520

Duodecimal: 20954

Hexadecimal: a750

Square: 1834580224

Square Root: 206.95893312442448

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

∏_k>=1 (1 + a(k)*x^k) = ∑_k>=0 (k·x)^k. A316083

Expansion of e.g.f. 1 / (1 - log(1 + 4·x) / 4). A354751

Number of 7-step self-avoiding walks on an n X n square summed over all starting positions. A188152

Number of n X 7 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224132

Number of 6 X n 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224137

Sum of squared distances from origin to ends of all n-step anisotropic self-avoiding walks on simple cubic lattice. A260345

T(n,k)=Number of nXk 0..1 arrays with rows nondecreasing and antidiagonals unimodal. A224133

T(n,k)=Number of n-step self-avoiding walks on a kXk square summed over all starting positions. A188147

Numerators of continued fraction convergents to sqrt(947). A42832

Number of nX5 0..1 arrays with every element equal to 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A298954