Properties of the Number 57468

Fifty-Seven Thousand Four Hundred Sixty-Eight

Basics

Value: 57467 → 57468 → 57469

Parity: even

Prime: No

Previous Prime: 57467

Next Prime: 57487

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 4789

Divisors: 1, 2, 3, 4, 6, 12, 4789, 9578, 14367, 19156

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1110000001111100

Octal: 160174

Duodecimal: 29310

Hexadecimal: e07c

Square: 3302571024

Square Root: 239.72484226712925

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 of 6 X n 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281405

Numbers k such that 3^k - 2^k is prime. A57468

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281400

Array read by antidiagonals: T(n,k) is the number of chiral pairs of color patterns (set partitions) in a row of length n using k or fewer colors (subsets). A320751

a(n) = 6·a(n-1)-8·a(n-2) for n > 4; a(0)=191, a(1)=1587, a(2)=14161, a(3)=123004, a(4)=508152. A177683

Number of 7Xn 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 0 0 vertically. A207965