Properties of the Number 52701

Fifty-Two Thousand Seven Hundred One

Basics

Value: 52700 → 52701 → 52702

Parity: odd

Prime: No

Previous Prime: 52697

Next Prime: 52709

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 1597

Divisors: 1, 3, 11, 33, 1597, 4791, 17567, 52701

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110111011101

Octal: 146735

Duodecimal: 265B9

Hexadecimal: cddd

Square: 2777395401

Square Root: 229.56698368885714

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

Odd Fibonacci pseudoprimes: odd composite numbers k such that either (1) k divides Fibonacci(k-1) if k == +-1 (mod 5) or (2) k divides Fibonacci(k+1) if k == +-2 (mod 5). A81264

Composite numbers k such that k divides F(k-1) where F(j) are the Fibonacci numbers. A69106

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))⁵. A341244

Coefficients of the A-Dyson Mod 27 identity. A104501

Composite numbers k that divide Fibonacci(k+1) or Fibonacci(k-1). A182554

Numbers k that divide Fibonacci(k-1) but do not divide Fibonacci(k) - 1. A94410

a(n) = number of partitions of n whose difference multiset has at least one duplicate; see Comments. A364612

a(0) = 0; for n >= 1, a(n) = 2^n-1*C(n-1), where C(n) = A000108(n) Catalan numbers, n>0. A52701