Properties of the Number 56496

Fifty-Six Thousand Four Hundred Ninety-Six

Basics

Value: 56495 → 56496 → 56497

Parity: even

Prime: No

Previous Prime: 56489

Next Prime: 56501

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 11 × 107

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 16, 22

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101110010110000

Octal: 156260

Duodecimal: 28840

Hexadecimal: dcb0

Square: 3191798016

Square Root: 237.68887226792927

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

T(n,k)=Number of nXk arrays containing k copies of 0..n-1 with no element plus any antidiagonal neighbor equal to n-1. A265870

Start from the singleton set S = {n}, and unless 1 is already a member of S, generate on each iteration a new set where each odd number k is replaced by 3k+1, and each even number k is replaced by 3k+1 and k/2. a(n) is the size of the set after the first iteration which has produced 1 as a member. A290100

a(n) = (n/2)*(n + 1)*(3·n + 11). A59997

Number of 4Xn arrays containing n copies of 0..4-1 with no element plus any antidiagonal neighbor equal to 4-1. A265872

Number of nX3 arrays containing 3 copies of 0..n-1 with no element plus any antidiagonal neighbor equal to n-1. A265868

Maximum number of distinct functions at the bottom of a Boolean (or Binary) Decision Diagram (or BDD) with negation by pointer complementation. A40996

Number of primitive (period n) periodic palindromes using a maximum of five different symbols. A56496

The number of even separable permutations of length n. A165328