Properties of the Number 21086

Twenty-One Thousand Eighty-Six

Basics

Value: 21085 → 21086 → 21087

Parity: even

Prime: No

Previous Prime: 21067

Next Prime: 21089

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 811

Divisors: 1, 2, 13, 26, 811, 1622, 10543, 21086

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001001011110

Octal: 51136

Duodecimal: 10252

Hexadecimal: 525e

Square: 444619396

Square Root: 145.2101924797292

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 partitions of n whose greatest part is a multiple of 3. A363045

Number of unrooted achiral trees with n nodes. A3244

Decimal part of a(n)^1/5 starts with a 'nine digits' anagram. A34280

Expansion of f(-x³, -x⁵) * f(x³, x¹³) / (f(-x, -x²) * f(-x⁸, -x¹⁶)) in powers of·where f(, ) is Ramanujan's general θ function. A258939

Number of rooted ordered trees with node weights summing to n, where the root has weight 0, non-root node weights are in {1,2,3}, and no nodes have the same weight as their parent node. A382096

Coefficients of derivatives of MacMahon polynomials (A060187): p(x,n)=2ⁿ*(1 - x)^{1 + n}*LerchPhi[x, -n, 1/2]; p'(x,n)=(d/dx)p{x,n). A142707

Number of union-closed partitions of weight n. A225973

Catalan triangle A009766 transposed. A33184

Decimal expansion of 1/82. A21086

Number of (n+2)X(7+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010001 00010101 or 01010101. A261112