Properties of the Number 52501

Fifty-Two Thousand Five Hundred One

Basics

Value: 52500 → 52501 → 52502

Parity: odd

Prime: Yes

Previous Prime: 52489

Next Prime: 52511

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 52501

Divisors: 1, 52501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100110100010101

Octal: 146425

Duodecimal: 26471

Hexadecimal: cd15

Square: 2756355001

Square Root: 229.13096691630312

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

Numbers that are the sum of six fifth powers in two or more ways. A345507

Numbers that are the sum of six fifth powers in exactly two ways. A346357

Number of Hamiltonian paths in the graph on n vertices {1,...,n}, with i adjacent to j iff |i-j| <= 2. A69241

G.f. A(x) satisfies: A(x) = 1 + x² * A(x/(1 - 5·x)) / (1 - 5·x). A351151

Primes p that can be written as φ(k) + d(k) for some k, where φ(k) = A000010(k) is Euler's totient function and d(k) = A000005(k) is the number of divisors of k. A357916

Denominators of continued fraction convergents to sqrt(881). A42703

Primes p such that 12·p³+-1 are twin primes. A158297

Square array A(m,n) = Resultant(X^m+n,(X+1)^m+n), read by (falling) antidiagonals, m >= 1, n >= 0. A255831

Artiads (A001583) congruent to 1 mod 50 and having 2 as a quintic residue. A270799

Primes which can be expressed as concatenation of powers of 5 and 0's. A66596