Properties of the Number 89752

Eighty-Nine Thousand Seven Hundred Fifty-Two

Basics

Value: 89751 → 89752 → 89753

Parity: even

Prime: No

Previous Prime: 89689

Next Prime: 89753

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 13 × 863

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 863, 1726

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111010011000

Octal: 257230

Duodecimal: 43B34

Hexadecimal: 15e98

Square: 8055421504

Square Root: 299.5863815329395

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

Golden Triangle sums: a(n)=a(n-4)+A001654(n) with a(0)=0, a(1)=1, a(2)=2 and a(3)=6. A180666

Number of colored integer partitions of n such that eight colors are used and parts differ by size or by color. A327386

Number of -n..n arrays x(0..3) of 4 elements with zero sum, and adjacent elements not equal modulo three (with -1 modulo 3 = 2). A199911

L.g.f.: ∑_n>=1 a(n)*xⁿ/n = ∑_n>=1 xⁿ/n·exp( ∑_k>=1 a(n·k)*x^n·k/k ). A203253

G.f.: A(x) = exp( ∑_n>=1 G_n(xⁿ)*xⁿ/n ) such that G_n(xⁿ) = ∏_k=0..n-1 A(u^k*x) where u is an n-th root of unity. A203254

Erroneous version of A264759. A89752