Properties of the Number 86688

Eighty-Six Thousand Six Hundred Eighty-Eight

Basics

Value: 86687 → 86688 → 86689

Parity: even

Prime: No

Previous Prime: 86677

Next Prime: 86689

Digit Sum: 36

Digital Root: 9

Palindrome: No

Factorization: 2 ⁵ × 3 ² × 7 × 43

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001010100000

Octal: 251240

Duodecimal: 42200

Hexadecimal: 152a0

Square: 7514809344

Square Root: 294.42825951324716

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

sigma₃(n): sum of cubes of divisors of n. A1158

Sum of the cubes of the squarefree divisors of n. A351266

Dirichlet inverse of sigma₃ function (A001158). A53825

T(n,k)=1/3 the number of nXk 0..2 arrays with no element equal both to the element above and to the element to its left. A184694

G.f. A(x) satisfies: A(x) = x * (1 + A(x))⁴ / (1 - 2·A(x)). A366014

The sum of unitary divisors of the smallest cubefull number that is a multiple of n. A369721

a(0)=1, a(n) = sigma₃(2n). A91986

The sum of unitary divisors of the smallest cubefull exponentially odd number that is divisible by n. A369759

Sum of cubes of unitary divisors of n. A34677

Dirichlet g.f.: ζ(2·s) / (ζ(s) * ζ(s-3)). A328640