Properties of the Number 55872

Fifty-Five Thousand Eight Hundred Seventy-Two

Basics

Value: 55871 → 55872 → 55873

Parity: even

Prime: No

Previous Prime: 55871

Next Prime: 55889

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 97

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101101001000000

Octal: 155100

Duodecimal: 28400

Hexadecimal: da40

Square: 3121680384

Square Root: 236.37258724310652

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

a(n) = n! * [xⁿ] exp(n·x)*tan(x). A302586

Number of solutions to the equation p_i = (1+mod(i,2))*p_i-1 +- p_i-2 +- p_i-3 +- ... +- 2 +- 1, where p_i is the i-th prime number (where p₁ = 2 and the "zeroth prime" p₀ is defined to be 1). A59871

a(n) = 97·n². A174338

a(n) = smallest k such that prime(n) is the n-th largest divisor of k. A226326

Numbers such that the largest prime factor equals the sum of the 4th power of the other prime factors. A244344

a(n) and floor(a(n)/8) are both squares; i.e., squares that remain squares when written in base 8 and last digit is removed. A55872

Number of nX5 0..1 arrays with each 1 adjacent to 3 or 6 king-move neighboring 1s. A296310