Properties of the Number 12516

Twelve Thousand Five Hundred Sixteen

Basics

Value: 12515 → 12516 → 12517

Parity: even

Prime: No

Previous Prime: 12511

Next Prime: 12517

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 7 × 149

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000011100100

Octal: 30344

Duodecimal: 72B0

Hexadecimal: 30e4

Square: 156650256

Square Root: 111.87493016757597

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: T(n,k) is the number of permutations of {1,2,...,n} having k increasing odd cycles (0<=k<=n). A cycle (b(1), b(2), ...) is said to be increasing if, when written with its smallest element in the first position, it satisfies b(1)<b(2)<b(3)<... . A cycle is said to be odd if it has an odd number of entries. For example, the permutation (152)(347)(6)(8) has 3 increasing odd cycles. A186761

Number of partitions into one kind of 1's, two kinds of 2's, and three kinds of 3's. A2597

a(n) is the smallest number of grains of sand placed at the center square of a (2n-1) X (2n-1) table so that some grains drop off the table by the end of the diffusion process. A259013

Number of regions formed inside a triangle with edge length 1 by the straight line segments mutually connecting all vertices and points that divide the sides into segments with lengths equal to the Farey series of order n = A006842(n,k)/A006843(n,k), k = 1..A005728(n). A358948

a(n) is the smallest number which can be represented as the sum of n distinct nonzero n-gonal pyramidal numbers in exactly n ways, or -1 if no such number exists. A350397

a(n) = 16·n² - n. A157446

Triangle T(n,m) read by rows: matrix product A053121·A038207. A96164

a(n) = 784·n² - 28. A158657

Wiener index of the n-sunlet graph. A180574

Triangle of coefficients of polynomials v(n,x) jointly generated with A209419; see the Formula section. A209420