Properties of the Number 55765

Fifty-Five Thousand Seven Hundred Sixty-Five

Basics

Value: 55764 → 55765 → 55766

Parity: odd

Prime: No

Previous Prime: 55763

Next Prime: 55787

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 19 × 587

Divisors: 1, 5, 19, 95, 587, 2935, 11153, 55765

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111010101

Octal: 154725

Duodecimal: 28331

Hexadecimal: d9d5

Square: 3109735225

Square Root: 236.14614119227102

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

Inverse Mobius transform of the superabundant numbers, A051731·A004394. A134672

Number of (n+2)X(3+2) 0..1 arrays x(i,j) with every row sum{j·x(i,j), j=1..3+2} equal, and every column sum{i·x(i,j), i=1..n+2} equal, with upper left element zero. A232649

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 601", based on the 5-celled von Neumann neighborhood. A272824

Number of (n+2)X(4+2) 0..1 arrays x(i,j) with every row sum{j·x(i,j), j=1..4+2} equal, and every column sum{i·x(i,j), i=1..n+2} equal, with upper left element zero. A232650

Jacobi form of weight 12 and index 1 for Niemeier lattice of type A₂¹². A55765