Properties of the Number 14492

Fourteen Thousand Four Hundred Ninety-Two

Basics

Value: 14491 → 14492 → 14493

Parity: even

Prime: No

Previous Prime: 14489

Next Prime: 14503

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 3623

Divisors: 1, 2, 4, 3623, 7246, 14492

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100010011100

Octal: 34234

Duodecimal: 8478

Hexadecimal: 389c

Square: 210018064

Square Root: 120.3827230128975

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 (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186482

a(n) = ∑_k=0..7 (n + k)². A276026

a(n) = 8·n² - 7·n + 1. A125201

a(1) = 1, a(n) = n+a(n-1) if n does not divide a(n-1), else a(n) = n·a(n-1). A95234

Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m. A175356

a(0) = 1; thereafter a(n) = 2*(6·n² - 3·n + 1). A386477

Number of (n+1) X 3 0..3 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors. A186475

Number of (n+1)X8 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A186480

T(n,m)=Number of (n+1)X3 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors. A190023

a(n) = (1/5ⁿ) * ∑_k=0..n² ( (binomial(n², k) * 4^k) (mod 5ⁿ) ). A376534