Properties of the Number 56319

Fifty-Six Thousand Three Hundred Nineteen

Basics

Value: 56318 → 56319 → 56320

Parity: odd

Prime: No

Previous Prime: 56311

Next Prime: 56333

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 18773

Divisors: 1, 3, 18773, 56319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101111111111

Octal: 155777

Duodecimal: 28713

Hexadecimal: dbff

Square: 3171829761

Square Root: 237.3162447031387

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 partitions of n into parts not a multiple of 7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 9 are greater than 1. A35985

a(n) is the smallest k such that A307092(k) = n. A307074

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 974", based on the 5-celled von Neumann neighborhood. A284542

a(n) = A230624(n)/2. A349821

Number of 6-block bicoverings of an n-set. A59947

Number of primitive (aperiodic) reversible strings with n beads using exactly three different colors. A56319

Number of nX4 0..1 arrays with each 1 horizontally, vertically or antidiagonally adjacent to 0, 1 or 3 neighboring 1s. A296574

Table(n,k) of binary strings of length n which have the same number of k long 0...00 and 0...01 substrings, where n>=0 and k>=2, read by downwards antidiagonals. A371692