Properties of the Number 55920

Fifty-Five Thousand Nine Hundred Twenty

Basics

Value: 55919 → 55920 → 55921

Parity: even

Prime: No

Previous Prime: 55903

Next Prime: 55921

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 233

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1101101001110000

Octal: 155160

Duodecimal: 28440

Hexadecimal: da70

Square: 3127046400

Square Root: 236.47410006171924

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 graceful permutations of length n. A6967

Number of pairs (λ,μ) of partitions λ of n and μ of nine with μ <= λ (by diagram containment). A303859

Number of (n+1) X 6 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly one clockwise edge increases. A207047

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly one clockwise edge increases. A207050

Susceptibility series H₄ for 2-dimensional Ising model (divided by 2) for 1 particle excitation. A55920

Number of nX6 0..2 arrays with no element equal to any value at offset (-1,-2) (-2,-1) or (-1,0) and new values introduced in order 0..2. A274726

Number of 6Xn 0..2 arrays with no element equal to any value at offset (-2,-1) (-1,1) or (0,-1) and new values introduced in order 0..2. A276303

A recursive triangular sequence with row sums (5^{n - 1}*(n + 3)!)/12: A(n,k)= A(n - 1, k - 1) + A(n - 1, k) + 5 *(2 + n) (13 + 5·n)*A(n - 2, k - 1). A153811