Properties of the Number 87024

Eighty-Seven Thousand Twenty-Four

Basics

Value: 87023 → 87024 → 87025

Parity: even

Prime: No

Previous Prime: 87013

Next Prime: 87037

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 7 ² × 37

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101001111110000

Octal: 251760

Duodecimal: 42440

Hexadecimal: 153f0

Square: 7573176576

Square Root: 294.9983050798767

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101. A260015

a(n) = (n-1)*(2·n-1)*(3·n-1). A33594

Number of prefix normal words of length n. A194850

Square root of v(2n)/v(2n-1), where v=A203748. A203750

Solution of the complementary equation a(n) = 2·a(n-1) + a(n-2) - b(n), where a(0) = 3, a(1) = 5, b(0) = 1, b(1) = 2, b(2) = 4, and (a(n)) and (b(n)) are increasing complementary sequences. A297011

Number of (n+2)X(n+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101. A260007

Number of (n+2)X(5+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000101 00010101 or 01010101. A260012

a(n) = (1/2) * ∑_{k=0..floor(n/3)} 2^n-3·k * binomial(2·k+2,2·n-6·k+1). A387557

Number of divisors of n-th cyclic number. A87024