Properties of the Number 54550

Fifty-Four Thousand Five Hundred Fifty

Basics

Value: 54549 → 54550 → 54551

Parity: even

Prime: No

Previous Prime: 54547

Next Prime: 54559

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 5 ² × 1091

Divisors: 1, 2, 5, 10, 25, 50, 1091, 2182, 5455, 10910

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101010100010110

Octal: 152426

Duodecimal: 2769A

Hexadecimal: d516

Square: 2975702500

Square Root: 233.55941428253325

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 that are the sum of nine fifth powers in three or more ways. A345620

Numbers that are the sum of nine fifth powers in exactly three ways. A346338

Triangular numbers: a(n) = binomial(n+1,2) = n*(n+1)/2 = 0 + 1 + 2 + ... + n. A217

The odd numbers: a(n) = 2·n + 1. A5408

a(n) = binomial(3·n,n)/(2·n+1) (enumerates ternary trees and also noncrossing trees). A1764

Central polygonal numbers (the Lazy Caterer's sequence): n(n+1)/2 + 1; or, maximal number of pieces formed when slicing a pancake with n cuts. A124

a(n) = binomial(2·n+1, n+1): number of ways to put n+1 indistinguishable balls into n+1 distinguishable boxes = number of (n+1)-st degree monomials in n+1 variables = number of monotone maps from 1..n+1 to 1..n+1. A1700

Central polygonal numbers: a(n) = n² - n + 1. A2061

Partial sums of (Catalan numbers starting 1, 2, 5, ...). A14138

Fibbinary numbers: if n = F(i1) + F(i2) + ... + F(ik) is the Zeckendorf representation of n (i.e., write n in Fibonacci number system) then a(n) = 2^{i1 - 2} + 2^{i2 - 2} + ... + 2^{ik - 2}. Also numbers whose binary representation contains no two adjacent 1's. A3714