Properties of the Number 15196

Fifteen Thousand One Hundred Ninety-Six

Basics

Value: 15195 → 15196 → 15197

Parity: even

Prime: No

Previous Prime: 15193

Next Prime: 15199

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 29 × 131

Divisors: 1, 2, 4, 29, 58, 116, 131, 262, 524, 3799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11101101011100

Octal: 35534

Duodecimal: 8964

Hexadecimal: 3b5c

Square: 230918416

Square Root: 123.27205684987982

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

Numbers k such that k + σ(k) + σ(σ(k)) is a square. A116014

Consider the trajectory of n under the iteration of a map which sends·to 3x - σ(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0. A37159

Volume (multiplied by 3) of polyhedron formed by points (i,j,k) in Z³ with i²+j²+k² = n². A65089

A triangular sequence of four back recursive polynomial that are Hermite H(x,n) like and alternating orthogonal on domain {-Infinity,Infinity} and weight function Exp[ -x²/2]: P(x, n) = 2·x*P(x, n - 1) - n·P(x, n - 2) + 4·x³*P(x, n - 3)-n²*P(x, n - 4). A138092

G.f.: A(x) = x/series_reversion(x·G108993(x)) where G108993(x) is g.f. of A108993. A108996

Sum of Gaussian binomial coefficients for q=10. A15196

Number of nX3 1..2 arrays with every element value z a city block distance of exactly z from another element value z. A209605