Properties of the Number 6580

Six Thousand Five Hundred Eighty

Basics

Value: 6579 → 6580 → 6581

Parity: even

Prime: No

Previous Prime: 6577

Next Prime: 6581

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 5 × 7 × 47

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110110100

Octal: 14664

Duodecimal: 3984

Hexadecimal: 19b4

Square: 43296400

Square Root: 81.11719916269298

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

Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1. A125

Stirling numbers of the first kind: s(n+2, n). A914

13-gonal (or tridecagonal) numbers: a(n) = n*(11·n - 9)/2. A51865

Square of lower triangular matrix of A056857 (successive equalities in set partitions of n). A78937

Number of partitions of n such that every part divides the largest part and such that the smallest part divides every part. A130714

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0 or 2 neighboring 1s. A297457

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302367

Numbers 1 through 10000 sorted lexicographically in ternary representation. A190128

T(n,k)=Number of ways to move elements of an nXnXn triangular array to themselves or a neighbor, with no 2-cycles and with no more than k-1 elements moved to themselves. A271852

Numbers that are the sum of five fourth powers in exactly two ways. A344237