Properties of the Number 52253

Fifty-Two Thousand Two Hundred Fifty-Three

Basics

Value: 52252 → 52253 → 52254

Parity: odd

Prime: Yes

Previous Prime: 52249

Next Prime: 52259

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 52253

Divisors: 1, 52253

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110000011101

Octal: 146035

Duodecimal: 262A5

Hexadecimal: cc1d

Square: 2730376009

Square Root: 228.58915109864685

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

Primes of the form 36·k² - 810·k + 2753, listed in order of increasing parameter k >= 0. A50268

Primes having only {2, 3, 5} as digits. A214703

Primes of the form 36·n² - 810·n + 2753, n >= 0, sorted. A22464

Primes with a prime number of digits, all of them prime, that add up to a prime. A110028

a(1) = 1, a(n+1) = least prime p > a(n) such that a(n) + p is a square. A178825

Third prime p such that (p+n)²+n is prime but (p+j)²+j is not prime for all 0<j<n. A238675

Integers k such that 2^k-1 == 1 (mod k) and 2^m-1 == 1 (mod m), where m = k*(A000265(k-1) - 1) + 1 and A000265 gives the odd part of its argument. A187849

Prime intersections in a square spiral with positive integers: primes p such that there are four primes among eight nearest neighbors of p. A215470

Number of (n+4)X5 0..1 matrices with each 5X5 subblock idempotent. A224683

Integers in Ulam's spiral for which the numbers around them form a square whose four corners are all prime numbers. A383596