Properties of the Number 23872

Twenty-Three Thousand Eight Hundred Seventy-Two

Basics

Value: 23871 → 23872 → 23873

Parity: even

Prime: No

Previous Prime: 23869

Next Prime: 23873

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 373

Divisors: 1, 2, 4, 8, 16, 32, 64, 373, 746, 1492

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101110101000000

Octal: 56500

Duodecimal: 11994

Hexadecimal: 5d40

Square: 569872384

Square Root: 154.50566332662373

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 strict compositions of n that are neither increasing nor decreasing. A333149

a(n) = A214938(2n). A291090

Number of Motzkin n-paths avoiding even-numbered steps that are flat steps. A214938

Positions of 2 in sequence A217916. A217918

Number of partitions of n with rank 4 (the rank of a partition is the largest part minus the number of parts). A363213

a(n) = T(n,n-2), array T as in A050143. A50148

Triangle G(n,k) read by rows: number of order-preserving partial transformations (of an n-element totally ordered set) of waist k (waist(α) = max(Im(α))). A111516

Expansion of a(x²) / f(-x) in powers of·where a() is a cubic AGM θ function and f() is a Ramanujan θ function. A261454

G.f. L(x,y) satisfies: L(x,y) = x * (1 + y·x*L'(x,y)) / (1 + x·L'(x,y)) where L'(x,y) = d/dx L(x,y), as a triangle read by rows. A301305

Number of -n..n arrays x(0..3) of 4 elements with zero sum and no two consecutive zero elements. A199531