Properties of the Number 89336

Eighty-Nine Thousand Three Hundred Thirty-Six

Basics

Value: 89335 → 89336 → 89337

Parity: even

Prime: No

Previous Prime: 89329

Next Prime: 89363

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 13 × 859

Divisors: 1, 2, 4, 8, 13, 26, 52, 104, 859, 1718

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101110011111000

Octal: 256370

Duodecimal: 43848

Hexadecimal: 15cf8

Square: 7980920896

Square Root: 298.8912845835422

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 ∏_k>=1 ((1 + x^2·k-1) / (1 - x^2·k-1))^2·k-1. A292038

Number of partitions of n into parts but with two kinds of parts of sizes 1 to 10. A103929

G.f.: ∏_n=-oo..+oo ( 1 + xⁿ*(1 - xⁿ)ⁿ ). A293602

a(n) = n⁴ - 3·n³ + 6·n² - 5·n + 2 (n >= 1). A304160

Multiplicity of highest weight (or singular) vectors associated with character chi₁₄₅ of Monster module. A34533

Number of n X n 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3. A239357

Number of nX4 0..1 arrays with every element equal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero. A298578

Smallest palindrome such that every partial concatenation is prime. A89336