Properties of the Number 50228

Fifty Thousand Two Hundred Twenty-Eight

Basics

Value: 50227 → 50228 → 50229

Parity: even

Prime: No

Previous Prime: 50227

Next Prime: 50231

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 29 × 433

Divisors: 1, 2, 4, 29, 58, 116, 433, 866, 1732, 12557

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100010000110100

Octal: 142064

Duodecimal: 25098

Hexadecimal: c434

Square: 2522851984

Square Root: 224.11604137142882

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 length n+6 0..k arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms. A250154

Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 9, n >= 2. A214042

Expansion of b(2)*b(4)/(1 - 2·x - 2·x³ + 3·x⁴), where b(k) = (1-x^k)/(1-x). A266367

Number of length n+6 0..2 arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms. A250148

Number of length 5+6 0..n arrays with every seven consecutive terms having the maximum of some two terms equal to the minimum of the remaining five terms. A250159

Number of (2+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252435

a(n) is the hafnian of the 2n X 2n symmetric matrix whose element M_i,j equals φ(abs(i-j)). A354865

a(n) is the number of subsequences {s(k)} of {1,2,3,...n} such that s(k+1)-s(k) is 1 or 3. A50228

Number of (undirected) paths in the grid graph P₄ X P_n. A358800