Properties of the Number 57002

Fifty-Seven Thousand Two

Basics

Value: 57001 → 57002 → 57003

Parity: even

Prime: No

Previous Prime: 56999

Next Prime: 57037

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 11 × 2591

Divisors: 1, 2, 11, 22, 2591, 5182, 28501, 57002

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111010101010

Octal: 157252

Duodecimal: 28BA2

Hexadecimal: deaa

Square: 3249228004

Square Root: 238.75091622860842

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) = 3^n-1 - 2ⁿ + 1 (essentially Stirling numbers of second kind). A28243

Triangle read by rows: the positive terms of A163626. A249163

Number T(n,k) of set partitions of [n] into k blocks such that the absolute difference between least elements of consecutive blocks is always > 1; triangle T(n,k), n>=0, 0<=k<=ceiling(n/2), read by rows. A298668

Triangle read by rows: T(n,k) = ∑_j=0..k (-1)^j * binomial(k,j) * (3-j)ⁿ. A391210

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 673", based on the 5-celled von Neumann neighborhood. A273406

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 961", based on the 5-celled von Neumann neighborhood. A273833

Triangle T(n, k) read by rows: T(n, k) = S2(n, k)*k! + S2(n, k-1)*(k-1)! with the Stirling2 triangle S2 = A048993. A285867

Triangle read by rows: T(n,k) = ∑_j=0..2k (-1)^j * binomial(2k,j) * (2+k-j)²ⁿ. A390029

Numbers n such that n¹⁰²⁴ + 1 is prime (a generalized Fermat prime). A57002

Number of domicule tilings of a 6 X n grid. A239268