Properties of the Number 55760

Fifty-Five Thousand Seven Hundred Sixty

Basics

Value: 55759 → 55760 → 55761

Parity: even

Prime: No

Previous Prime: 55733

Next Prime: 55763

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 5 × 17 × 41

Divisors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100111010000

Octal: 154720

Duodecimal: 28328

Hexadecimal: d9d0

Square: 3109177600

Square Root: 236.13555429032706

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+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259006

a(n) = n*(n+1)*(5·n + 4)/6. A162147

a(n) = ∑_k=0..n-1 [x^k] A(x)^n-1 for n>=1 with a(0)=1, where g.f. A(x) = ∑_n>=0 a(n)*xⁿ. A233436

a(1) = 1; a(n) = (2ⁿ - 1)*((3ⁿ - 1)/(2ⁿ - 1) mod 1), n >= 2. Unreduced numerators of fractional parts of (3ⁿ - 1)/(2ⁿ - 1). A297446

Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A258999

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259001

Number of (3+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259008

3-Springer numbers. A347930

Jacobi form of weight 12 and index 1 for Niemeier lattice of type A₇² D₅². A55760