Properties of the Number 45513

Forty-Five Thousand Five Hundred Thirteen

Basics

Value: 45512 → 45513 → 45514

Parity: odd

Prime: No

Previous Prime: 45503

Next Prime: 45523

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 389

Divisors: 1, 3, 9, 13, 39, 117, 389, 1167, 3501, 5057

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000111001001

Octal: 130711

Duodecimal: 22409

Hexadecimal: b1c9

Square: 2071433169

Square Root: 213.3377603707323

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

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 121", based on the 5-celled von Neumann neighborhood. A270208

Expansion of 1/((1-x)*(1-x²)²*(1-x³)²*(1-x⁴)²*(1-x⁵)*(1-x⁶)). A45513

Number of lattice paths from {4}ⁿ to {0}ⁿ using steps that decrement one component such that for each point (p₁,p₂,...,p_n) we have p₁<=p₂<=...<=p_n. A227584