Properties of the Number 36696

Thirty-Six Thousand Six Hundred Ninety-Six

Basics

Value: 36695 → 36696 → 36697

Parity: even

Prime: No

Previous Prime: 36691

Next Prime: 36697

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 11 × 139

Divisors: 1, 2, 3, 4, 6, 8, 11, 12, 22, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111101011000

Octal: 107530

Duodecimal: 192A0

Hexadecimal: 8f58

Square: 1346596416

Square Root: 191.56200040717889

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.: A(x) = exp( ∑_n>=1 n² * a(n-1)*xⁿ/n! ) = ∑_n>=0 a(n)*xⁿ/n! with a(0) = 1. A156326

Number of permutations of length n without 3-sequences. A2628

Triangle of numbers a(n,k) = number of permutations on n letters containing k 3-sequences (n >= 0, 0<=k<=max(0,n-2)). A47921

a(n) = 1728·n - 1320. A157263

Number of cycles for the map LL:x->x²-2 acting on Z/(2ⁿ-1). A128976

E.g.f. satisfies: A(x) = exp( x/(1 - x·A'(x)/A(x)) ). A182962

E.g.f. L(x) satisfies: L(x) = x·exp(x·d/dx L(x)), where L(x) is the logarithm of e.g.f. of A161967. A161968

a(n)=number of Gaussian integers z=a+bi satisfying n-1<|z|<=n, b>=0. A36696