Properties of the Number 87021

Eighty-Seven Thousand Twenty-One

Basics

Value: 87020 → 87021 → 87022

Parity: odd

Prime: No

Previous Prime: 87013

Next Prime: 87037

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 11 × 293

Divisors: 1, 3, 9, 11, 27, 33, 99, 293, 297, 879

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001111101101

Octal: 251755

Duodecimal: 42439

Hexadecimal: 153ed

Square: 7572654441

Square Root: 294.9932202610765

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

a(n) = [xⁿ] ∏_k>=1 ((1 + x^2·k-1)/(1 + x^2·k))ⁿ. A296043

Expansion of 1 / ((1-2·x)*(1-4·x+x²)). A216263

Expansion of (1 - x)⁴/((1 - x)⁶ + x⁶). A307089

Number of partitions into non-integral powers. A339

a(n) = 100·n² + 100·n + 21. A152161

a(n) = ∑_{k=0..floor(n/6)} (-1)^k*binomial(n,6·k). A307040

Numbers k such that the determinant of the Vandermonde matrix of their digits is equal to σ(k), the sum of divisors of k. A307586

Number of distinct prime factors of n-th cyclic number. A87021