Properties of the Number 23984

Twenty-Three Thousand Nine Hundred Eighty-Four

Basics

Value: 23983 → 23984 → 23985

Parity: even

Prime: No

Previous Prime: 23981

Next Prime: 23993

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 1499

Divisors: 1, 2, 4, 8, 16, 1499, 2998, 5996, 11992, 23984

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110110110000

Octal: 56660

Duodecimal: 11A68

Hexadecimal: 5db0

Square: 575232256

Square Root: 154.86768546084753

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

Square array read by antidiagonals: T(m,n) = number of ways of creating a closed, simple loop on an m X n rectangular lattice. A231829

Number of edges formed in a square by straight line segments when connecting the four corner vertices to the points dividing the sides into n equal parts. A355948

Number of cycles in the grid graph P₄ X P_n+1. A288637

Rectangular array: (row n) = b**c, where b(h) = h, c(h) = binomial(2·n-4+2·h,n-2+h), n>=1, h>=1, and ** = convolution. A213853

Number of cycles in the grid graph P₇ X P_n. A339119

Even integers k such that λ(sum of even divisors of k) = sum of odd divisors of k. A293356

a(n) is the number of perfect matchings in the circulant graph on 2·n vertices with jumps 1, 2, and 3. A323709

Multiplicity of highest weight (or singular) vectors associated with character chi₁₀ of Monster module. A34398

Numbers k such that (754·10^k - 7)/9 is prime. A294634

Sum of exponents in prime-power factorization of multinomial coefficient M(6n; n,n,n,n,n,n). A23984