Properties of the Number 6357

Six Thousand Three Hundred Fifty-Seven

Basics

Value: 6356 → 6357 → 6358

Parity: odd

Prime: No

Previous Prime: 6353

Next Prime: 6359

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 13 × 163

Divisors: 1, 3, 13, 39, 163, 489, 2119, 6357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011010101

Octal: 14325

Duodecimal: 3819

Hexadecimal: 18d5

Square: 40411449

Square Root: 79.73079706111058

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 9 prime powers (including 1). A341127

Stirling transform of A077957 (aerated powers of 2) with 0 prepended [0, 1, 0, 2, 0, 4, 0, 8, ...]. A264037

Number of partitions of n into parts not of the form 13k, 13k+5 or 13k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 5 are greater than 1. A35953

Expansion of 1/((1-x)*(1-x²)²*(1-x³)²*(1-x⁴)²*(1-x⁵)*(1-x⁶)). A45513

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 6, n >= 2. A214025

n times the n-th noncomposite. A164931

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 539", based on the 5-celled von Neumann neighborhood. A272801

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 57", based on the 5-celled von Neumann neighborhood. A278661

a(n) is the number of vertices formed by n-secting the angles of a heptagon. A335758

a(n) = a(n-1) + a(round(2*(n-1)/3)) + a(round((n-1)/3)) with a(1)=a(2)=1. A33499