Properties of the Number 18722

Eighteen Thousand Seven Hundred Twenty-Two

Basics

Value: 18721 → 18722 → 18723

Parity: even

Prime: No

Previous Prime: 18719

Next Prime: 18731

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 11 × 23 × 37

Divisors: 1, 2, 11, 22, 23, 37, 46, 74, 253, 407

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100100100010

Octal: 44442

Duodecimal: AA02

Hexadecimal: 4922

Square: 350513284

Square Root: 136.82835963352042

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

Expansion of the reciprocal of the g.f. defining A039924. A3116

Fifth column of the (1,4)-Pascal triangle A095666. A95667

A000012²³ * A000594. A128379

Take the list t(n,0) = {1,...,n}; denote by t(n,j) this list after rotating to left (or right) by j positions. Calculate inner product of t(n,0) and t(n,j) and denote the value by s(n,j). Compute this inner product for all j = 1..n and choose the smallest. This is a(n). A88003

Eighth column of quintinomial coefficients. A64057

Triangle of coefficients of polynomials u(n,x) jointly generated with A210194; see the Formula section. A210193

The number of ordered ways to achieve a score of n in darts. A167213

a(n) = n*(n+1)*(5·n+1)/3. A174814

Sum of the abscissae of the first returns to the horizontal axis (assumed to be 0 if there are no such returns) in all dispersed Dyck paths of length n (i.e., Motzkin paths of length n with no (1,0) steps at positive heights). A191313

Number of binary strings of length n with equal numbers of 00000 and 00101 substrings. A164182