Properties of the Number 57112

Fifty-Seven Thousand One Hundred Twelve

Basics

Value: 57111 → 57112 → 57113

Parity: even

Prime: No

Previous Prime: 57107

Next Prime: 57119

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 11 ² × 59

Divisors: 1, 2, 4, 8, 11, 22, 44, 59, 88, 118

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101111100011000

Octal: 157430

Duodecimal: 29074

Hexadecimal: df18

Square: 3261780544

Square Root: 238.98117080640475

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

a(n) = 4*(4 + 9·n² + 15·n). A144449

Number of compositions of n where the (possibly scattered) maximal subsequence of part i with multiplicity j is marked with a word of length j over an a(i-1)-ary alphabet whose letters appear in alphabetical order. A261894

Number of weakly unimodal compositions of n in which the greatest part occurs exactly four times. A320315

Numbers k such that Bernoulli number B_k has denominator 61410. A295591

Positions of records in A351089. A349908

Sequence of 719 adjacent transpositions (a[n] a[n]+1), which, when starting from the identity permutation and applied successively, produce a Hamiltonian circuit/path through all 720 permutations of S₆, in such a way that S_n-1 is always traversed before the rest of S_n. A57112