Properties of the Number 43232

Forty-Three Thousand Two Hundred Thirty-Two

Basics

Value: 43231 → 43232 → 43233

Parity: even

Prime: No

Previous Prime: 43223

Next Prime: 43237

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 7 × 193

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 32, 56

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100011100000

Octal: 124340

Duodecimal: 21028

Hexadecimal: a8e0

Square: 1869005824

Square Root: 207.92306269387242

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

Number of different multisets that can be obtained by choosing a prime index (or a prime factor) of each integer from 2 to n. A355746

Number of compositions of n when each odd part can be of two kinds. A52945

G.f.: ∑_{k >= 1} (φ(k)/k)*log(1-f(x^k)), where f(x) = (1 - sqrt(1 - 4·x)) / (2·x) - 1 is the g.f. for the Catalan numbers (A000108) C₁, C₂, C₃, ... A60404

Irregular triangle read by rows: T(n,k) = number of homeomorphically irreducible connected labeled graphs with n vertices and k edges, n >= 1, 0 <= k <= n*(n-1)/2. A331438

Let P(A) be the power set of an n-element set A and let B be the Cartesian product of P(A) with itself. Remove (y,x) from B when (x,y) is in B and x <> y and let R35 denote the reduced set B. Then a(n) = the sum of the sizes of the union of·and y for every (x,y) in R35. A133224

T(n, k) = [x^k] n! [tⁿ] 1/(exp((V*(2 + V))/(4·t))*sqrt(1 + V)) where V = W(-2·t*x) and W denotes the Lambert function. Table read by rows, T(n, k) for 0 <= k <= n. A343805

Number of snake-like polyominoes in an n X n square that start at the NW corner and end at the SE corner and have the maximum length. A357516

a(n) = 169·n² - 2·n. A158218

Number of n-digit base-2 deletable digit-sum multiple (DSM) integers. A101216

Numbers k such that 1 and 9 occur juxtaposed in the base-10 representation of k but not of k-1. A43232