Properties of the Number 36609

Thirty-Six Thousand Six Hundred Nine

Basics

Value: 36608 → 36609 → 36610

Parity: odd

Prime: No

Previous Prime: 36607

Next Prime: 36629

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 12203

Divisors: 1, 3, 12203, 36609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111100000001

Octal: 107401

Duodecimal: 19229

Hexadecimal: 8f01

Square: 1340218881

Square Root: 191.33478512805766

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

Expansion of 1/((1-x)*(1-x²)*(1-x³)*(1-x⁴))². A117486

Number of irreducible representations of the symmetric group S_n such that their degree is divisible by 3. A61569

G.f.: exp( ∑_n>=1 A322185(n)*xⁿ/n ), where A322185(n) = σ(2·n) * binomial(2·n,n)/2. A322186

Number of permutations of length n which avoid the patterns 1234, 2143, 3421. A116842

a(n) = σ(2·n) * binomial(2·n,n)/2, for n >= 1. A322185

Number of 4-ary rooted trees with n nodes and height at most 4. A36609