Properties of the Number 86576

Eighty-Six Thousand Five Hundred Seventy-Six

Basics

Value: 86575 → 86576 → 86577

Parity: even

Prime: No

Previous Prime: 86573

Next Prime: 86579

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 7 × 773

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101001000110000

Octal: 251060

Duodecimal: 42128

Hexadecimal: 15230

Square: 7495403776

Square Root: 294.2379989056478

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

The minimum possible value for the apex of a triangle of numbers whose base consists of a permutation of the numbers 0 to n, and each number in a higher row is the sum of the two numbers directly below it. A189391

Arises in the normal ordering of functions of a*(a+)*a, where a and a+ are the boson annihilation and creation operators, respectively. A123511

Number of multisets of multisets, each of odd size, whose multiset union is a size-n multiset covering an initial interval. A356933

O.g.f. satisfies: A(x) = ∑_n>=0 (n+1)^n-1 * (n·x)ⁿ * A(n·x)^2·n/n! * exp(-(n+1)*n·x*A(n·x)²). A219220

a(n) = 5*(10ⁿ - 1). A86576

Number of magic labelings with magic sum n of 7th graph shown in link. A244875

Number of (n+1) X (6+1) 0..2 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically. A253454