Properties of the Number 55779

Fifty-Five Thousand Seven Hundred Seventy-Nine

Basics

Value: 55778 → 55779 → 55780

Parity: odd

Prime: No

Previous Prime: 55763

Next Prime: 55787

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 18593

Divisors: 1, 3, 18593, 55779

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101100111100011

Octal: 154743

Duodecimal: 28343

Hexadecimal: d9e3

Square: 3111296841

Square Root: 236.17578199298927

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

Squarefree numbers differing by more than 3 from any other squarefree number. A268332

T(i, j) = k is the least squarefree number with a run of exactly i>=0 nonsquarefree numbers immediately preceding k and a run of exactly j>=0 nonsquarefree numbers immediately succeeding k. A270996

a(n) is the number of different graphs drawn in the following way: you decide for each number k <= n on a pair of positive numbers (x(k),y(k)) such that x(k)+y(k)=k; you draw n points numbered 1 to n; draw two arrows from n, one to x(n) and one to y(n); draw two arrows from each k already reached by an arrow, one to x(k) and one to y(k). The process stops when 1 is the only point reached by an arrow without any arrow leaving it; you can also erase the isolated points. A58050

Numbers of the form x² + y² + z² = φ(x·y*z) + σ(x·y*z). A173792

Number of unlabeled directed graphs on n nodes without a subgraph isomorphic to directed K_2,2 that have the maximal number of edges (=A191873(n)). A351335

a(n) is the least semiprime > a(n-2) + a(n-1), with a(1) = 4 and a(2) = 6. A366217

Number of fat trees on n labeled vertices. A55779