Properties of the Number 55314

Fifty-Five Thousand Three Hundred Fourteen

Basics

Value: 55313 → 55314 → 55315

Parity: even

Prime: No

Previous Prime: 55313

Next Prime: 55331

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 439

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1101100000010010

Octal: 154022

Duodecimal: 28016

Hexadecimal: d812

Square: 3059638596

Square Root: 235.18928547023566

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

Integers k such that A001006(k) is divisible by k. A266969

a(n) = ∑_{d divides n} (-1)^n/d+1*d³. A78307

Number of permutations p of [n] with no fixed points and displacement of elements restricted by six: 1 <= |p(i)-i| <= 6. A259779

A generalized partition function. A2602

A binomial conjugate of the Narayana numbers. A177896

Triangle T(n,k) read by rows: number of labeled trees with n nodes and k leaves, n >= 2, 2 <= k <= n. A55314

Triangle T(n,m) = ∑_i=0..n-m C(2·m-1,n-i-1)*C(n-i-1,i)*C(n-i-1,n-m-i)/(2·m-1). A338022