Properties of the Number 86608

Eighty-Six Thousand Six Hundred Eight

Basics

Value: 86607 → 86608 → 86609

Parity: even

Prime: No

Previous Prime: 86599

Next Prime: 86627

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 5413

Divisors: 1, 2, 4, 8, 16, 5413, 10826, 21652, 43304, 86608

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001001010000

Octal: 251120

Duodecimal: 42154

Hexadecimal: 15250

Square: 7500945664

Square Root: 294.29237163066256

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

E.g.f.: REVERT(2·x/(1+exp(x))) = ∑_n>=0 a(n)*xⁿ/n!. A88789

Solution to the Dancing School Problem with 7 girls and n+7 boys: f(7,n). A79912

Solution to the Dancing School Problem with n girls and n+6 boys: f(n,6). A79925

Number of 7-step one or two space at a time bishop's tours on an n X n board summed over all starting positions. A187051

Number of ways to place k nonattacking anassas on an n X n chess board. Triangle T(n,k) read by rows. A378561

Expansion of g.f. (1 - sqrt(1 - 2·x + 2·x*sqrt(1 - 4·x)))/(2·x). A369528

T(n,k)=Number of n-step one or two space at a time bishop's tours on a kXk board summed over all starting positions. A187046

Row sums of triangle A086606: the sum of the first n terms of the n-th self-convolution of the sequence formed by flattening triangle A086606. A86608

T(n,k)=Number of length n arrays x(i), i=1..n with x(i) in i..i+k and no value appearing more than 1 time. A248944