Properties of the Number 55288

Fifty-Five Thousand Two Hundred Eighty-Eight

Basics

Value: 55287 → 55288 → 55289

Parity: even

Prime: No

Previous Prime: 55259

Next Prime: 55291

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 6911

Divisors: 1, 2, 4, 8, 6911, 13822, 27644, 55288

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101011111111000

Octal: 153770

Duodecimal: 27BB4

Hexadecimal: d7f8

Square: 3056762944

Square Root: 235.13400434645771

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 distinct characteristic polynomials for 2 X 2 matrices with entries from {0, 1, ..., n}. A366448

A255468(2ⁿ-1). A255469

Number of (n+2) X (1+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3. A258959

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250656

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3. A258966

Matrix inverse of triangle A055277(n+1,k). A55288

Half the number of nX6 binary arrays with no element unequal to a strict majority of its king-move neighbors. A183390