Properties of the Number 51505

Fifty-One Thousand Five Hundred Five

Basics

Value: 51504 → 51505 → 51506

Parity: odd

Prime: No

Previous Prime: 51503

Next Prime: 51511

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 5 × 10301

Divisors: 1, 5, 10301, 51505

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100100110001

Octal: 144461

Duodecimal: 25981

Hexadecimal: c931

Square: 2652765025

Square Root: 226.947130407062

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

E.g.f.: exp(5·x*G(x)⁴) / G(x)⁴ where G(x) = 1 + x·G(x)⁵ is the g.f. of A002294. A251575

a(n) = ∑_k=1..n floor(n³/k³). A344675

Number of unlabeled unit interval graphs with n nodes. A5217

Number of n X 4 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing. A223766

Numbers having four 7's in base 9. A43484

Erroneous version of A005217. A92458

Table of coefficients in functions R(n,x) defined by R(n,x) = exp( n·x*G(n,x)^n-1 ) / G(n,x)^n-1 where G(n,x) = 1 + x·G(n,x)ⁿ, for rows n>=1. A251660

a(n) = 5^n-3 * (n+1)^n-5 * (16·n³ + 87·n² + 172·n + 125). A251585

T(n,k)=Number of nXk 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing. A223770

a(n) = min { 2ⁿ, floor(100/sqrt(n)) }. A51505