Properties of the Number 35949

Thirty-Five Thousand Nine Hundred Forty-Nine

Basics

Value: 35948 → 35949 → 35950

Parity: odd

Prime: No

Previous Prime: 35933

Next Prime: 35951

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 23 × 521

Divisors: 1, 3, 23, 69, 521, 1563, 11983, 35949

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110001101101

Octal: 106155

Duodecimal: 18979

Hexadecimal: 8c6d

Square: 1292330601

Square Root: 189.602215176933

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 ∏_{i>=1, j>=1} 1 / (1 - x^{i·j*(j + 1}/2)). A327744

Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of xⁿ*y^k in f(x,y) that satisfies f(x,y) = (1-xy)/[(1-x)(1-y)] + xy·f(x,y)³. A86626

Number of squarefree parts in the partitions of n into 8 parts. A309461

Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2. A1608

Number of maximal independent vertex sets in the n-hypercube graph Q_n. A284707

Number of inequivalent maximal independent vertex sets in the n-hypercube graph Q_n. A366425

Number of partitions in parts not of the form 13k, 13k+1 or 13k-1. Also number of partitions with no part of size 1 and differences between parts at distance 5 are greater than 1. A35949