Properties of the Number 19926

Nineteen Thousand Nine Hundred Twenty-Six

Basics

Value: 19925 → 19926 → 19927

Parity: even

Prime: No

Previous Prime: 19919

Next Prime: 19927

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁵ × 41

Divisors: 1, 2, 3, 6, 9, 18, 27, 41, 54, 81

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110111010110

Octal: 46726

Duodecimal: B646

Hexadecimal: 4dd6

Square: 397045476

Square Root: 141.1594842722231

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

Sums of 2 distinct powers of 3. A38464

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^{3^(k-1}). A344247

Dirichlet g.f.: ∏_k>=2 (1 + k^-s)^{3^(k-1}). A344266

Number of partitions of n into parts 3k+1 and 3k+2 with at least one part of each type. A35620

E.g.f.: tan(x)/(1+LambertW(-x)). A277467

Values of z in positive integer solutions of x² + y⁵ = z³, listed in increasing order of z. A70067

a(n) = ∑_k=1..n k·lcm(k,n). A344508

G.f. A(x) satisfies: [x²ⁿ] A(x)/Catalan(x)ⁿ = A001764(n) = C(3n,n)/(2n+1) and [x²ⁿ⁺¹] A(x)/Catalan(x)ⁿ = A001764(n+1) for n>=0, where Catalan(x) is the g.f. of A000108. A127927

Number of Dyck paths of semilength n such that the maximal number of peaks per level equals two. A288743

a(n) = ∑_i=1..n LookAndSay(i). A79664