Properties of the Number 12717

Twelve Thousand Seven Hundred Seventeen

Basics

Value: 12716 → 12717 → 12718

Parity: odd

Prime: No

Previous Prime: 12713

Next Prime: 12721

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 157

Divisors: 1, 3, 9, 27, 81, 157, 471, 1413, 4239, 12717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110101101

Octal: 30655

Duodecimal: 7439

Hexadecimal: 31ad

Square: 161722089

Square Root: 112.76967677527502

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

Triangle read by rows: row n gives coefficients of Schur polynomial ω(n) in order of decreasing powers of x. A269750

Number of integer partitions of n for which the parts have the same median as the multiplicities. A360456

G.f.: A(x,y) = (1-y) * ∑_n>=0 yⁿ * (1 + x*(1-y)²)^n². A303920

a(n) = ∑_k=2..n binomial(k,2) * floor(n/k). A366967

a(n) = prime(n)*(prime(n+1)-1)/2. A14303

Number of n-node unlabeled connected oriented graphs whose underlying graphs are mating graphs, cf. A006024. A102599

a(n) = 44·n² + 1. A158630

Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares. A64180

a(n) = n² + 731·n + 1. A180919

Number of n X 2 binary arrays indicating whether each 2 X 2 subblock of a larger binary array has lexicographically increasing rows and columns, for some larger (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227085