Properties of the Number 36916

Thirty-Six Thousand Nine Hundred Sixteen

Basics

Value: 36915 → 36916 → 36917

Parity: even

Prime: No

Previous Prime: 36913

Next Prime: 36919

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 839

Divisors: 1, 2, 4, 11, 22, 44, 839, 1678, 3356, 9229

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000000110100

Octal: 110064

Duodecimal: 19444

Hexadecimal: 9034

Square: 1362791056

Square Root: 192.13536894595956

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

Number of ways of writing n as the sum of 11 triangular numbers. A226255

Expansion of ∏_k>=1 (1 + 2·k*x^k)/(1 - 2·k*x^k). A265955

Sequence of denominators associated with the continued fraction based on the sequence d(n)= distance of n from closest prime ( A051699). A110977

G.f.: A(x,y) = exp( ∑_n>=1 [∑_k=0..n C(n,k)³*y^k] * xⁿ/n ) = ∑_n>=0,k=0..n T(n,k)*xⁿ*y^k, as a triangle of coefficients T(n,k) read by rows. A181143

a(n) = ∑_k=0..n binomial(2·n-2·k,n-k)² * binomial(n,k)². A36916