Properties of the Number 19086

Nineteen Thousand Eighty-Six

Basics

Value: 19085 → 19086 → 19087

Parity: even

Prime: No

Previous Prime: 19081

Next Prime: 19087

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 3181

Divisors: 1, 2, 3, 6, 3181, 6362, 9543, 19086

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101010001110

Octal: 45216

Duodecimal: B066

Hexadecimal: 4a8e

Square: 364275396

Square Root: 138.15209010362457

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

Number T(n,k) of occurrences of k in a (signed) displacement set of a permutation of [n]; triangle T(n,k), n>=1, 1-n<=k<=n-1, read by rows. A306461

Number of + signs needed to write the partitions of n (A000041) as sums. A76276

A triangle related to the GF(z) formulas of the rows of the ED4 array A167584. A167594

Triangle: a(n,m) = number of permutations of (1,2,...,n) with one or more fixed points in the m first positions. A61018

G.f. A(x) satisfies: ∑_n>=0 A(x)^n*(n+1/2) * xⁿ = ∑_n>=0 (1+x)^n*(n-1/2) * xⁿ. A326424

Maximal coefficient of (1 + x) * (1 + x³) * (1 + x⁶) * ... * (1 + x^n*(n+1/2)). A359348

arcsinh(sin(x)+log(x+1)) = 2·x-1/2!*x²-7/3!*x³+18/4!*x⁴+243/5!*x⁵... A12893

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 92. A31590

Orders of Origami monoid on n strings constructed from the Jones monoid on n strings. A380196

Number of 4Xn 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302810