Properties of the Number 52792

Fifty-Two Thousand Seven Hundred Ninety-Two

Basics

Value: 52791 → 52792 → 52793

Parity: even

Prime: No

Previous Prime: 52783

Next Prime: 52807

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 6599

Divisors: 1, 2, 4, 8, 6599, 13198, 26396, 52792

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111000111000

Octal: 147070

Duodecimal: 26674

Hexadecimal: ce38

Square: 2786995264

Square Root: 229.76509743649055

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 ∏_k>=1 ((1 + x^4·k) / (1 - x^k)). A285472

p-INVERT of (1,1,1,1,1,...), where p(S) = 1 - 3 S² + 2 S³. A291023

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths ending at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 9, n >= 2. A214376

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 371", based on the 5-celled von Neumann neighborhood. A271456

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 513", based on the 5-celled von Neumann neighborhood. A272703

G.f. A(x) satisfies: A(x) = G(G(x)) where G(x) = x - A(x)² = g.f. of A139702. A139715

Numbers k such that 4·10^k + 63 is prime. A274214

G.f. A(x) satisfies A( x - A(x)² ) = x. A213591

Relative of Hofstadter Q-sequence: a(n) = max(0, n+3442) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A283885

Expansion of e.g.f.: x²*(exp(x)-1)⁴. A52792