Properties of the Number 52713

Fifty-Two Thousand Seven Hundred Thirteen

Basics

Value: 52712 → 52713 → 52714

Parity: odd

Prime: No

Previous Prime: 52711

Next Prime: 52721

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5857

Divisors: 1, 3, 9, 5857, 17571, 52713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110111101001

Octal: 146751

Duodecimal: 26609

Hexadecimal: cde9

Square: 2778660369

Square Root: 229.59311836376978

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

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with no 2X2 subblock having zero or two 1s. A251219

A089450 indexed by A000040. A89525

Sum of lengths of initial and final horizontal segments over all dispersed Dyck paths of semilength n (i.e., over all Motzkin paths of length n with no (1,0)-steps at positive heights). A191531

Number of (n+1)X(2+1) 0..1 arrays with no 2X2 subblock having zero or two 1s. A251213

Numbers k such that 2·10^k - 87 is prime. A273907

Expansion of e.g.f. (1-sqrt(1-8·x))/2. A52713