Properties of the Number 35091

Thirty-Five Thousand Ninety-One

Basics

Value: 35090 → 35091 → 35092

Parity: odd

Prime: No

Previous Prime: 35089

Next Prime: 35099

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 557

Divisors: 1, 3, 7, 9, 21, 63, 557, 1671, 3899, 5013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100100010011

Octal: 104423

Duodecimal: 18383

Hexadecimal: 8913

Square: 1231378281

Square Root: 187.32591918898996

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

(n+1)²*a(n+1) = (9n²+9n+3)*a(n) - 27·n²*a(n-1), with a(0) = 1 and a(1) = 3. A6077

Number of strict partitions of 2n that include a partition of n. A237258

Place n points on each of the three sides of a triangle, 3n points in all; a(n) = number of nondegenerate triangles that can be constructed using these points (plus the 3 original vertices) as vertices. A130748

a(n) = (n-1)*(n-2)*(n²+9·n+12)/24. A323847

E.g.f. arcsin(log(x+1)/exp(x)). A13562

McKay-Thompson series of class 30E for Monster. A58616

a(0) = 1, a(n) = 1 + 2·3 + 4·5 + 6·7 + ... + (2n)*(2n+1) for n > 0. A98931

(n+1)²*a(n+1) = -(9·n² + 9·n + 3)*a(n) - 27·n²*a(n-1), with a(0) = 1 and a(1) = -3. A291898

Expansion of (1/x) * Series_Reversion( x / (1+x) * (1-x³)² ). A369399

G.f. A(x) satisfies: [xⁿ] A(x)^n-1 = [xⁿ] -1/A(x)ⁿ, for n > 1. A352019