Properties of the Number 55796

Fifty-Five Thousand Seven Hundred Ninety-Six

Basics

Value: 55795 → 55796 → 55797

Parity: even

Prime: No

Previous Prime: 55793

Next Prime: 55799

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 13 × 29 × 37

Divisors: 1, 2, 4, 13, 26, 29, 37, 52, 58, 74

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100111110100

Octal: 154764

Duodecimal: 28358

Hexadecimal: d9f4

Square: 3113193616

Square Root: 236.21176939348302

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

Numbers k whose abundance is 128: σ(k) - 2·k = 128. A292626

Number of permutations p of {1,...,n} such that exactly one element of {p(1),...,p(i-1)} is between p(i) and p(i+1) for all i from 2 to n-1. A185030

Primitive nondeficient numbers satisfying a stronger condition that compares abundancy with related numbers as detailed in the comments. A352739

Magic sums of 4 X 4 magic squares composed of odd squares. A271582

Primitive abundant numbers version 2 (abundant numbers all of whose proper divisors are deficient numbers) and increasing any prime factor in the prime factorization gives a non-abundant number when factored back. A335557

Number of triangles in an n X n grid of squares with diagonals. A100583

Number of (n+2) X (7+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 1 and no column sum 1. A257446

T(2n+3,n), array T as in A055794. A55796

Number of (n+1) X 4 0..2 arrays with no 2 X 2 subblock having the number of clockwise edge increases equal to the number of counterclockwise edge increases in its adjacent leftward or upward neighbors. A206272