Properties of the Number 57107

Fifty-Seven Thousand One Hundred Seven

Basics

Value: 57106 → 57107 → 57108

Parity: odd

Prime: Yes

Previous Prime: 57097

Next Prime: 57119

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 57107

Divisors: 1, 57107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101111100010011

Octal: 157423

Duodecimal: 2906B

Hexadecimal: df13

Square: 3261209449

Square Root: 238.97070950223167

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 that are a concatenation of 5, 7 and a prime. A101249

Expansion of e.g.f.: tanh(x·W(x)), where W(x) = LambertW(-x)/(-x). A274279

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 721", based on the 5-celled von Neumann neighborhood. A273447

Number of 4-connected 4-regular polyhedra with n nodes. A7023

a(n) is the least prime p = prime(k) such that the next prime with the same last digit as p is prime(k+n). A340800

Octagonal palindromes. A57107

Consider a decimal number of k>=2 digits x = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁ and the transform V(x)-> (d₁+d(k) mod 10)*10^k-1 + (d_k+d_k-1 mod 10)*10^k-2 + (d_k-1+d_k-2 mod 10)*10^k-3 + … + (d₂+d₁ mod 10). Sequence lists the least primes·that remain primes for n steps under the transform V(x). A245252