Properties of the Number 52537

Fifty-Two Thousand Five Hundred Thirty-Seven

Basics

Value: 52536 → 52537 → 52538

Parity: odd

Prime: No

Previous Prime: 52529

Next Prime: 52541

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 107 × 491

Divisors: 1, 107, 491, 52537

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110100111001

Octal: 146471

Duodecimal: 264A1

Hexadecimal: cd39

Square: 2760136369

Square Root: 229.2095111464618

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 e.g.f. exp( x/(1-x)² ) / (1-x). A361598

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n binomial(n+(k-1)*j,k·j)/j!. A361600

Number of compositions of n with first part 4 and no equal adjacent parts; this is column 4 of the array in A096568. A96572

Composite numbers k for which k - φ(k) divides k-1. A160599

Numbers n such that sigma₃(n) is divisible by square of cototient of n, while n is not a prime number. A91286

Expansion of (1-x)/(1-x-2·x³). A52537