Properties of the Number 55168

Fifty-Five Thousand One Hundred Sixty-Eight

Basics

Value: 55167 → 55168 → 55169

Parity: even

Prime: No

Previous Prime: 55163

Next Prime: 55171

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁷ × 431

Divisors: 1, 2, 4, 8, 16, 32, 64, 128, 431, 862

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101011110000000

Octal: 153600

Duodecimal: 27B14

Hexadecimal: d780

Square: 3043508224

Square Root: 234.87869209445117

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

Take pairs (x,y) with ∑_{j = x..y} j = concatenation of·and y. Sort pairs on y then x. This sequence gives y of each pair. A70153

Number of (w,x,y,z) with all terms in {0,...,n} and at least one of these conditions holds: w<R, x>R, y>R, z>R, where R = max{w,x,y,z} - min{w,x,y,z}. A212754

E.g.f.: sinh(sqrt(2)*x)/(sqrt(2)*(1-x)). A277432

E.g.f.: (x²/2-2·x+3)*tan(x/2+π/4)-3·x³-x-3. A131611

Principal number of K. Saito for tree of type E_n. A131656

Cumulative counting sequence: method B (noun,adjective)-pairs with first term 0. A55168

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7. A252544

Number of (n+2)X(2+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7. A252237

Number of (2+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7. A252546