Properties of the Number 13362

Thirteen Thousand Three Hundred Sixty-Two

Basics

Value: 13361 → 13362 → 13363

Parity: even

Prime: No

Previous Prime: 13339

Next Prime: 13367

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 17 × 131

Divisors: 1, 2, 3, 6, 17, 34, 51, 102, 131, 262

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11010000110010

Octal: 32062

Duodecimal: 7896

Hexadecimal: 3432

Square: 178543044

Square Root: 115.59411749738825

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 p of n such that (number of numbers of the form 5k in p) is a part of p. A241549

Minimal k > n such that (4·k+3·n) * (4·n+3·k) is a square. A83752

Number of permutations of 1..n for which the partial sums of signed displacements do not exceed 2. A214663

Number of base 8 n-digit numbers with adjacent digits differing by two or less. A126395

Irregular triangle read by rows: T(n,k), n >= 2, 1 <= k <= n/2, = number of rooted forests with n nodes and k trees, with at least two nodes in each tree. A174135

Number of Weyl group elements, not containing an s_r factor, which contribute nonzero terms to Kostant's weight multiplicity formula when computing the multiplicity of the zero-weight in the adjoint representation for the Lie algebra of type C and rank n. A232164

Coefficients of modular function G₃(τ). A5761

Number of reduced words of length n in Coxeter group on 3 generators S_i with relations (S_i)² = (S_i S_j)⁵ = I. A163314

Inverse Mobius transformation of A034714. A360429

Triangle T, read by rows, where column k of T = column 0 of matrix power T^k+1 for k>0, with column 0 of T = column 1 of T² (shifted). A152406