Properties of the Number 35965

Thirty-Five Thousand Nine Hundred Sixty-Five

Basics

Value: 35964 → 35965 → 35966

Parity: odd

Prime: No

Previous Prime: 35963

Next Prime: 35969

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 7193

Divisors: 1, 5, 7193, 35965

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110001111101

Octal: 106175

Duodecimal: 18991

Hexadecimal: 8c7d

Square: 1293481225

Square Root: 189.64440408301004

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 g.f.: exp( ∑_n>=1 σ(5·n)*xⁿ/n ). A182821

a(n) = n + (n-1)*(n-2) + (n-3)*(n-4)*(n-5) + (n-6)*(n-7)*(n-8)*(n-9) + ... + ...*(n-n). A227363

n+prime(n)+prime(prime(n)) is a triangular number, where prime(n) is the n-th prime. A116010

a(n) = numerator of b(n), where b(1)=1, b(n+1) = sum{k∣n} 1/b(k). A127939

Number of partitions satisfying 0 < cn(2,5) + cn(3,5). A39897

Expansion of x*(1 + x² - x³) / ( (1-x)*(1-x-x⁴) ). A168639

Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1. A35965