Properties of the Number 23952

Twenty-Three Thousand Nine Hundred Fifty-Two

Basics

Value: 23951 → 23952 → 23953

Parity: even

Prime: No

Previous Prime: 23929

Next Prime: 23957

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 499

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110110010000

Octal: 56620

Duodecimal: 11A40

Hexadecimal: 5d90

Square: 573698304

Square Root: 154.76433697722481

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 configurations of the sliding block 8-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A89473

Numbers n such that n² is a sum of 2 and also of 4 consecutive primes. A252066

Number of squares in the interior of the square with vertices (n,0), (0,n), (-n,0) and (0,-n) in a square (x,y)-grid. A111746

Number of cyclic subgroups of the group GL(2, Z(n)), counting conjugates as distinct. A316560

Values of n such that n^a-+a are primes, a=5. A155021

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) / (1-x)⁶. A162539

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, 0, 1), (1, -1, -1), (1, 1, -1)}. A148357

E.g.f.: A(x) = exp( x/A(-x·A(x)⁶)² ). A213111

Denominators of fractions with nontrivial anomalous cancellation, listed with multiplicity if multiple numerators are possible. A291094

Expansion of g.f. 1/((1-x)*(1-6·x)*(1-7·x)*(1-11·x)). A23952