Properties of the Number 57054

Fifty-Seven Thousand Fifty-Four

Basics

Value: 57053 → 57054 → 57055

Parity: even

Prime: No

Previous Prime: 57047

Next Prime: 57059

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 37 × 257

Divisors: 1, 2, 3, 6, 37, 74, 111, 222, 257, 514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111011011110

Octal: 157336

Duodecimal: 29026

Hexadecimal: dede

Square: 3255158916

Square Root: 238.85979150957994

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

Number T(n,k,j) of acyclic orientations of the complete tripartite graph K_n,k,j; triangle of triangles T(n,k,j), n>=0, k=0..n, j=0..k, read by rows. A372261

a(n) = n*(n + 1)*(7·n + 5)/6. A304993

Triangle T(n,k) in which row n lists in increasing order the number of acyclic orientations of complete multipartite graphs K_lambda, where λ is a partition of n into distinct parts; triangle T(n,k), n>=0, k = 1..A000009(n), read by rows. A370614

Number of permutations of 1..n with i-6 <= p(i) <= i+4. A179342

a(n)=2·3ⁿ - 18·4ⁿ + 24·5ⁿ. A91433

Let R(i,j) be the rectangle with antidiagonals 1; 2,3; 4,5,6; ...; n³ is in antidiagonal a(n). A57054