Properties of the Number 13152

Thirteen Thousand One Hundred Fifty-Two

Basics

Value: 13151 → 13152 → 13153

Parity: even

Prime: No

Previous Prime: 13151

Next Prime: 13159

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 137

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101100000

Octal: 31540

Duodecimal: 7740

Hexadecimal: 3360

Square: 172975104

Square Root: 114.6821694946516

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

T(n,k) = number of ways to reciprocally link elements of an n X k array either to themselves or to exactly one king-move neighbor. A220644

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7. A251876

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304149

T(n,k) = Number of n X k 0,1 arrays indicating 2 X 2 subblocks of some larger (n+1) X (k+1) binary array having determinant equal to one. A227751

Triangle read by rows: T(n,k) = 2^k*A235998(n,k), n>=1, k>=1. A235999

Numbers k such that prime(k+3)-(k+3)*τ(k+3) = prime(k-3)-(k-3)*τ(k-3) where τ(k) = A000005(k) is the number of divisors of k. A67355

Number of nX1 0..2 arrays with no more than floor(nX1/2) elements equal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..2 order. A222848

a(n) = n!*∑_k=1..n μ(k)/k!, where μ(k) is the Moebius function. A68107

Irregular triangle read by rows: T(N,k) (0 <= k <= 4·N²) are coefficients of cluster density function for site percolation on a 2·N X 2·N 2D hexagonal lattice with periodic boundary conditions. A365944

Expansion of 1/((1-x)³ (1-x²)² (1-x³) (1-x⁴)). A2626