Properties of the Number 10872

Ten Thousand Eight Hundred Seventy-Two

Basics

Value: 10871 → 10872 → 10873

Parity: even

Prime: No

Previous Prime: 10867

Next Prime: 10883

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ² × 151

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001111000

Octal: 25170

Duodecimal: 6360

Hexadecimal: 2a78

Square: 118200384

Square Root: 104.2688831818966

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

Irregular triangle read by rows: T(n,k) (0 <= k <= n²) are coefficients of cluster density function for site percolation on an n X n 2D triangular lattice with periodic boundary conditions. A365940

E.g.f.: exp(4·x*G(x)³) / G(x) where G(x) = 1 + x·G(x)⁴ is the g.f. of A002293. A251664

Total sum of even parts in the last section of the set of partitions of n. A206436

Positions of +4's in A346242. A354814

G.f.: Re((2·i; x)_inf), where (a; q)_inf is the q-Pochhammer symbol, i = sqrt(-1). A292135

Number of permutations p of [n] such that 0p has a nonincreasing jump sequence beginning with ceiling(n/2). A303204

Expansion of ∏_k>=0 1/(1-x^4·k+1)². A261629

Number of permutations p of [2n+1] such that 0p has a nonincreasing jump sequence beginning with n+1. A303203

Triangle read by rows. T(n, k) are the coefficients of polynomials p_n(x) based on the Eulerian numbers of first order representing the Bernoulli numbers as B_n = p_n(1) / (n + 1)!. A356545

G.f.: (x+4·x³+x⁵)/((1-x)²*(1-x²)²*(1-x³)²). A83708