Properties of the Number 57284

Fifty-Seven Thousand Two Hundred Eighty-Four

Basics

Value: 57283 → 57284 → 57285

Parity: even

Prime: No

Previous Prime: 57283

Next Prime: 57287

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 14321

Divisors: 1, 2, 4, 14321, 28642, 57284

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101111111000100

Octal: 157704

Duodecimal: 29198

Hexadecimal: dfc4

Square: 3281456656

Square Root: 239.3407612589214

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

Expansion of (1-x)/(1 - 3·x - 2·x²). A104934

T(n,k)=Number of nXk 0..1 arrays with new values 0..1 introduced in row major order and no element equal to more than two of its immediate leftward or upward or right-upward antidiagonal neighbors. A208709

a(n) = 4·3*2·1 + 8·7*6·5 + 12·11·10·9 + 16·15·14·13 + ... + (up to the n-th term). A319868

Number T(n,k) of permutations p of [n] such that k is the maximum of the partial sums of the signed up-down jump sequence of 0,p; triangle T(n,k), k>=0, k<=n<=k*(k+1)/2, read by columns. A316293

Number of balanced orbitals over n sectors. A241810

Number of balanced orbitals over an odd number of sectors. A242087

Slice of elementary triangular automaton rule 58, starting from a lone 1 cell. A384363

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252189

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252191

Number of stacks of n triangles, pointing upwards or downwards depending on row parity. A224704