Properties of the Number 23192

Twenty-Three Thousand One Hundred Ninety-Two

Basics

Value: 23191 → 23192 → 23193

Parity: even

Prime: No

Previous Prime: 23189

Next Prime: 23197

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 13 × 223

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 223, 446

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101101010011000

Octal: 55230

Duodecimal: 11508

Hexadecimal: 5a98

Square: 537868864

Square Root: 152.28919856641178

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

Fundamental discriminants d uniquely characterizing all complex biquadratic fields Q(sqrt(-3),sqrt(d)) which have 3-class group of type (3,3) and second 3-class group isomorphic to SmallGroup(729,37). A250240

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 489", based on the 5-celled von Neumann neighborhood. A282608

G.f. A(x) satisfies A(x) = 1/( 1 - x·A(x)³ / (1-x)² ). A382916

Partial sums of A077482. A174517

Expansion of (1 + x) * ∏_k>=1 (1 + x^k)/(1 - x^k). A309266

O.g.f. A(x) satisfies: 0 = [xⁿ] exp( n³ * Integral A(x) dx ) / A(x), for n > 0. A305138

Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers. A23192

Number of nX4 0..1 arrays with every element equal to 0, 2, 3 or 5 king-move adjacent elements, with upper left element zero. A297939