Properties of the Number 23830

Twenty-Three Thousand Eight Hundred Thirty

Basics

Value: 23829 → 23830 → 23831

Parity: even

Prime: No

Previous Prime: 23827

Next Prime: 23831

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 5 × 2383

Divisors: 1, 2, 5, 10, 2383, 4766, 11915, 23830

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110100010110

Octal: 56426

Duodecimal: 1195A

Hexadecimal: 5d16

Square: 567868900

Square Root: 154.36968614336172

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

Expansion of x*(1+x+x²) / ( (x-1)*(x³+x²-1) ). A171861

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234564

Number of ways to place 3 nonattacking knights on a 3 X n board. A172212

Number of binary strings of length n with no substrings equal to 000 or 011. A164315

McKay-Thompson series of class 21C for the Monster group. A58565

Number of (n+1) X (4+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234560

Number of (n+1) X (5+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 4 (constant-stress 1 X 1 tilings). A234561

Expansion of η(q⁶)³ * η(q¹⁰)³ / (η(q²) * η(q³)² * η(q⁵)² * η(q³⁰)) in powers of q. A257632

Sum of exponents in prime-power factorization of C(4n,n-4). A23830