Properties of the Number 52813

Fifty-Two Thousand Eight Hundred Thirteen

Basics

Value: 52812 → 52813 → 52814

Parity: odd

Prime: Yes

Previous Prime: 52807

Next Prime: 52817

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 52813

Divisors: 1, 52813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111001001101

Octal: 147115

Duodecimal: 26691

Hexadecimal: ce4d

Square: 2789212969

Square Root: 229.8107917396396

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

Minimal order of degree-n irreducible polynomials over GF(29). A218364

Least prime p such that 3 + 4·prime(p·n) = 5·prime(q·n) for some prime q. A260886

Primes that remain prime through 3 iterations of function f(x) = 3x + 4. A23278

Primes that remain prime through 4 iterations of the function f(x) = 3x + 4. A23308

Primes of the form (4·k + 3)² + (4·k + 2)² where k=0,1,2,3,... A87872

a(n)/2^A332917(n) is the average number of binary strings of length n with Levenshtein distance <= 3 from a uniform randomly sampled binary string of this length. A332916

Numbers k such that the decimal part of k^1/8 starts with a 'nine digits' anagram. A34283

Primes of the form 8·n² + 4·n + 1. A102130

Primes of the form prime(x)² + (prime(x) - 1)². A147718

Primes p = a² + b² such that (x - a)² + (y - b)² = 2 and q - p = 4, where q = x² + y² is prime, assuming that a > b > 0 and x > y > 0. A217674