Properties of the Number 59172

Fifty-Nine Thousand One Hundred Seventy-Two

Basics

Value: 59171 → 59172 → 59173

Parity: even

Prime: No

Previous Prime: 59167

Next Prime: 59183

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 4931

Divisors: 1, 2, 3, 4, 6, 12, 4931, 9862, 14793, 19724

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011100100100

Octal: 163444

Duodecimal: 2A2B0

Hexadecimal: e724

Square: 3501325584

Square Root: 243.25295476108815

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

a(n) = ∑_d∣n (n/d)^d-1. A87909

Deep factorization of n, A300560, converted from binary to decimal. (Binary digits obtained by recursively replacing each factor p^e with [primepi(p) [e]], then '[' = 1, ']' = 0.) A300561

Expansion of ∑_k>=1 x^k/(1 + k·x^k). A308367

Numbers k such that x^k + x⁷ + 1 is irreducible over GF(2). A57477

Number of equivalence classes, modulo transposition, of non-symmetric plane partitions of n. A306098

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 3 5 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 3 5 6 or 7. A252247

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 531", based on the 5-celled von Neumann neighborhood. A272752

a(n) = ∑_d∣n (-1)^d-1 * d^n/d-1. A359812

Numbers k>7 such that x^k + x⁷ + x⁶ + x⁵ + x⁴ + x³ + x² + x + 1 is irreducible over GF(2). A57485

Number of ways to place zero or more nonadjacent 1,1 2,1 3,0 3,1 3,2 3,3 polyhexes in any orientation on a planar nXnXn triangular grid. A155268