Properties of the Number 14496

Fourteen Thousand Four Hundred Ninety-Six

Basics

Value: 14495 → 14496 → 14497

Parity: even

Prime: No

Previous Prime: 14489

Next Prime: 14503

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁵ × 3 × 151

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: 11100010100000

Octal: 34240

Duodecimal: 8480

Hexadecimal: 38a0

Square: 210134016

Square Root: 120.39933554633929

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 steps to go from 2ⁿ⁺¹-1 to (2ⁿ)-1 using the iterative process described in A071542. A213709

Antidiagonal sums of table A162430. A162434

Number of even cycles in range [A014137(n-1)..A014138(n-1)] of permutation A057505/A057506, with no fixed points of either A057163 or A057164. A81157

a(n) = (n-1)*(n-2)³ - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2. A75681

Expansion of ∑_k>=1 k² * x^k/(1 - x^k)³. A309732

Numbers k such that k + σ(k) + φ(k) is a square. A116009

Triangle read by rows. T(n, k) are the coefficients of polynomials p_n(x) based on the Eulerian numbers of first order representing the Bernoulli numbers as B_n = p_n(1) / (n + 1)!. A356545

Number of even cycles in range [A014137(2n-1)..A014138(2n-1)] of permutation A057505/A057506, with no fixed points of A057164. A81158

a(n) = a(n-1) + a(n-2) + n + 1, a(0) = a(1) = 1. A210677

Expansion of ∏_k>=1 (1 - p(k)*x^k), where p(k) = number of partitions of k (A000041). A304785