Properties of the Number 14824

Fourteen Thousand Eight Hundred Twenty-Four

Basics

Value: 14823 → 14824 → 14825

Parity: even

Prime: No

Previous Prime: 14821

Next Prime: 14827

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 17 × 109

Divisors: 1, 2, 4, 8, 17, 34, 68, 109, 136, 218

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100111101000

Octal: 34750

Duodecimal: 86B4

Hexadecimal: 39e8

Square: 219750976

Square Root: 121.75385004179539

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

Array T(m,n) read by antidiagonals: number of domino tilings (or dimer tilings) of the m X n grid (or m X n rectangle), for m>=1, n>=1. A99390

Euler transform of σ(n), cf. A000203. A61256

Number of partitions of n in which each part occurs an odd number (or zero) times. A55922

Number of Dyck paths such that the area between the x-axis and the path is n. A143951

Expansion of ∏_m>=1 (1 + q^m)^2·m. A26011

Number of perfect matchings (or domino tilings) in P₅ X P_2n. A3775

Triangle T(m,n) read by rows: number of domino tilings of the m X n grid (0 <= m <= n). A187616

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7. A252544

Number of perfect matchings in graph P₈ X P_n. A28470

Numbers which are the sum of two positive cubes and divisible by 17. A99178