Properties of the Number 35366

Thirty-Five Thousand Three Hundred Sixty-Six

Basics

Value: 35365 → 35366 → 35367

Parity: even

Prime: No

Previous Prime: 35363

Next Prime: 35381

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 17683

Divisors: 1, 2, 17683, 35366

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101000100110

Octal: 105046

Duodecimal: 18572

Hexadecimal: 8a26

Square: 1250753956

Square Root: 188.05850153609114

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 8-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187382

G.f. A(x) satisfies: A(x) = A(x²) / (1 - x - x² - x³ - x⁴). A309703

Expansion of ∑_k>=1 k² * x^2·k / (1 - k·x^k). A326121

T(n,k)=Number of n-step S, NW and NE-moving king's tours on a kXk board summed over all starting positions. A187377

Number of partitions of n into parts 4k+2 or 4k+3. A35366