Properties of the Number 55386

Fifty-Five Thousand Three Hundred Eighty-Six

Basics

Value: 55385 → 55386 → 55387

Parity: even

Prime: No

Previous Prime: 55381

Next Prime: 55399

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 17 × 181

Divisors: 1, 2, 3, 6, 9, 17, 18, 34, 51, 102

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100001011010

Octal: 154132

Duodecimal: 28076

Hexadecimal: d85a

Square: 3067608996

Square Root: 235.34230388946224

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)+x(i-1,j) in the j direction. A250877

a(1) = 1, a(2) = 2, a(3) = 6; a(n) = 5·a(n-1) - 5·a(n-2) + a(n-3) for n > 3. A101265

a(0) = 1, a(1) = 1, a(2) = 2; for n > 2, a(n) = 5·a(n-1) - 5·a(n-2) + a(n-3). A101879

T(n,k)=1/12 the number of (n+2)X(k+2) 0..2 arrays with each 3X3 subblock containing three of each value. A184386

Number of 6-cycles in the n-polygon diagonal intersection graph. A300554

a(n) = ∑_{k=0..floor(n/2)} 2^n-2·k * binomial(2·n-2·k,2·k). A387689

Numbers k for which φ(k) = φ(k+1) - φ(k-1). A76529

a(n) is the multiplicative inverse of A008514(n+1) modulo A008514(n). A334137

Expansion of x*(3·x-1)*(2·x-1) / ( (1-x)*(1+x)*(x²-4·x+1) ). A107388

1/12 the number of (n+2) X 4 0..2 arrays with each 3 X 3 subblock containing three of each value. A184379