Properties of the Number 19326

Nineteen Thousand Three Hundred Twenty-Six

Basics

Value: 19325 → 19326 → 19327

Parity: even

Prime: No

Previous Prime: 19319

Next Prime: 19333

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 3221

Divisors: 1, 2, 3, 6, 3221, 6442, 9663, 19326

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101101111110

Octal: 45576

Duodecimal: B226

Hexadecimal: 4b7e

Square: 373494276

Square Root: 139.0179844480562

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

T(n,k)=Number of nXk 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281693

Expansion of 1/(2 - ∏_k>=1 (1 + k·x^k)). A307063

One-half of the number of closed binary words of length n that are not privileged. A297185

Values of m, the main key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes. A51891

a(1) = 2, a(2) = 3; thereafter a(n) = a(n-1) + a(|n-a(T)|), where a(T) is the largest term in the sequence before a(n) such that 0 < |n-a(T)| < n. A271063

a(n) = ((6+sqrt(5))ⁿ+(6-sqrt(5))ⁿ)/2. A152107

Number of nX3 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281690

Number of 4Xn 0..2 arrays with no element equal to more than one of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281696

Triangle read by rows:e(n,k)=Sum[(-1)^j Binomial[n + 1, j](k + 1 - j)ⁿ, {j, 0, k + 1}]; t(n,m)=(e[n + 1, m]*PartitionsQ[n] + e[n + 1, n - m]*(PartitionsQ[ n - m] + PartitionsQ[m])) - 2. A156225

Numbers k such that (292·10^k - 1)/3 is prime. A281407