Properties of the Number 52717

Fifty-Two Thousand Seven Hundred Seventeen

Basics

Value: 52716 → 52717 → 52718

Parity: odd

Prime: No

Previous Prime: 52711

Next Prime: 52721

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 17 × 443

Divisors: 1, 7, 17, 119, 443, 3101, 7531, 52717

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110111101101

Octal: 146755

Duodecimal: 26611

Hexadecimal: cded

Square: 2779082089

Square Root: 229.60182926100566

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

Square array read by ascending antidiagonals: T(n,k) = [x^k] 1/(1 - x) * Legendre_P(k, (1 + x)/(1 - x))ⁿ for n, k >= 0. A364113

Number of ways to choose a set partition of the parts of a strict integer composition of n. A336140

Row sums of A129396. A129397

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 605", based on the 5-celled von Neumann neighborhood. A273177

Expansion of e.g.f. x*(1 - sqrt(1 - 4·x))/2. A52717

G.f.: exp( ∑_n>=1 A000204(n)⁵ * xⁿ/n ) where A000204 is the Lucas numbers. A203805