Properties of the Number 52393

Fifty-Two Thousand Three Hundred Ninety-Three

Basics

Value: 52392 → 52393 → 52394

Parity: odd

Prime: No

Previous Prime: 52391

Next Prime: 52433

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 ² × 433

Divisors: 1, 11, 121, 433, 4763, 52393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110010101001

Octal: 146251

Duodecimal: 263A1

Hexadecimal: cca9

Square: 2745026449

Square Root: 228.89517251353294

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

a(n) = ∑_k=1..n floor(n/k) * (-4)^k-1. A344819

Non-palindromic solutions to σ(R(n)) = σ(n), where R = A004086 is digit-reversal. A85329

First occurrence of difference n between two consecutive terms of A000404. a(n) gives the lower term. The upper term is A355238. A355237

Start of record gaps between sums of two squares. A297350

G.f. A(x) satisfies A(x) = 1 + x/(1-x²) * A(x)³. A389196

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 901", based on the 5-celled von Neumann neighborhood. A273744

Number of unlabeled ternary cacti having n triangles. A52393

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7. A251917