Properties of the Number 56544

Fifty-Six Thousand Five Hundred Forty-Four

Basics

Value: 56543 → 56544 → 56545

Parity: even

Prime: No

Previous Prime: 56543

Next Prime: 56569

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 19 × 31

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101110011100000

Octal: 156340

Duodecimal: 28880

Hexadecimal: dce0

Square: 3197223936

Square Root: 237.78982316322958

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) = n*(n+1)*(11·n+1)/6. A132112

Number of partitions of n in which any two parts differ by at most 10. A218512

Eventual period of a single cell in rule 45 cellular automaton in a cyclic universe of width n. A334508

Numbers k such that 2·10^k + R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k. A56700

Number of elements e in all partitions of n such that e divides n. A89251

Number of 1:3:sqrt(10) proportioned triangles on a (n+1) X (n+1) grid. A190102

Expansion of (1+x-x²)/((1-x)*(1-3·x²-x³)). A217733

Smallest palindrome containing the digits of n as a subsequence. A56544

E.g.f.: ∑_n>=0 exp((2·n+1)*x) * (1 - x^2·n+1*exp(-(4·n+2)*x)) * xⁿ/(1 - x^4·n+2). A257216