Properties of the Number 18168

Eighteen Thousand One Hundred Sixty-Eight

Basics

Value: 18167 → 18168 → 18169

Parity: even

Prime: No

Previous Prime: 18149

Next Prime: 18169

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 757

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 757, 1514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011011111000

Octal: 43370

Duodecimal: A620

Hexadecimal: 46f8

Square: 330076224

Square Root: 134.78872356395397

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

Consider Post's tag system applied to the word (100)ⁿ; a(n) = position of the longest word in the orbit, or -1 if the orbit is unbounded. A291796

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252139

a(n) = 13·n² + 10·n + 1. A161587

Number of essentially parallel unoriented series-parallel networks with n elements and without multiple unit elements in parallel. A339295

Numbers k such that k + σ(k) + φ(k) is a square. A116009

Expansion of ∑_k>=0 (x * (1 + k·x²))^k. A360748

a(n) = (1/(5·n+3)) * ∑_k=0..n (5·k+3) * binomial(5·n+3,n-k). A390779

A good sequence of gaps for Shellsort, found by genetic programming. A112263

Expansion of c(x/(1-x-x²)) / (1-x-x²), c(x) the g.f. of A000108. A184018

G.f.: exp( ∑_n>=1 A322191(n)*xⁿ/n ), where A322191(n) is the coefficient of xⁿ*yⁿ/n in log( ∏_n>=1 1/(1 - (x^2·n - y^2·n)/(x - y)) ). A322192