Properties of the Number 43992

Forty-Three Thousand Nine Hundred Ninety-Two

Basics

Value: 43991 → 43992 → 43993

Parity: even

Prime: No

Previous Prime: 43991

Next Prime: 43997

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 13 × 47

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010101111011000

Octal: 125730

Duodecimal: 21560

Hexadecimal: abd8

Square: 1935296064

Square Root: 209.7426995153824

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 5-cycles in the n-polygon diagonal intersection graph. A300553

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) + 1, where a(0) = 1, a(1) = 4, b(0) = 2, b(1) = 3, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A295957

Group the natural numbers such that the first group is (1) then (2),(3),(4,5),(6,7,8),... with the n-th group containing F(n) sequential terms where F(n) is the n-th Fibonacci number (A000045(n)). Sequence gives the sum of terms in the n-th group. A301809

Expansion of (1+x³*C)*C³, where C = (1-(1-4·x)^1/2)/(2·x) is g.f. for Catalan numbers, A000108. A71728

Triangle T(n,m) = (2·m*n+2·n-2·m²+1)*C(2·n+2,2·m+1)/(4·n+2). A338523

O.g.f. A(x) satisfies: [xⁿ] exp( n³*x - n·A(x) ) = 0 for n >= 1. A317347

a(n) = ∑_k=0..n ((2k+1)*C(n,k)*C(n+k,k))², where C(n,k) denotes the binomial coefficient n!/(k!*(n-k)!). A246461

Numbers k such that 5 and 8 occur juxtaposed in the base-9 representation of k but not of k+1. A43992