Properties of the Number 5055

Five Thousand Fifty-Five

Basics

Value: 5054 → 5055 → 5056

Parity: odd

Prime: No

Previous Prime: 5051

Next Prime: 5059

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 5 × 337

Divisors: 1, 3, 5, 15, 337, 1011, 1685, 5055

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001110111111

Octal: 11677

Duodecimal: 2B13

Hexadecimal: 13bf

Square: 25553025

Square Root: 71.09852319141376

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) = a(n-1) + a(n-7), with a(i) = 1 for i = 0..6. A5709

Bisection of A001400. A14125

a(n) = n*(3·n² - 1)/2. A4188

Numbers n such that the decimal expansions of both n and n² have 0 as smallest digit and 5 as largest digit. A256631

Number of strict integer partitions of n with at least one neighborless part. A356607

Numbers whose decimal expansion contains only 0's and 5's. A169964

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 1,1 0,-1 -1,1 or 0,-2. A264244

(7·n+6)-th terms of expansion of 1/(1-x-x⁷). A99253

A sequence of asymptotic density ζ(7) - 1, where ζ is the Riemann ζ function. A143033

Number of Dyck n-paths all of whose ascents and descents have lengths equal to 1 (mod 5). A212364