Properties of the Number 19244

Nineteen Thousand Two Hundred Forty-Four

Basics

Value: 19243 → 19244 → 19245

Parity: even

Prime: No

Previous Prime: 19237

Next Prime: 19249

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 17 × 283

Divisors: 1, 2, 4, 17, 34, 68, 283, 566, 1132, 4811

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100101100101100

Octal: 45454

Duodecimal: B178

Hexadecimal: 4b2c

Square: 370331536

Square Root: 138.7227450708787

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

a(n) = ∑_{k=0..floor(3·n/8)} binomial(k,3·n-8·k). A392272

Minimal numbers of binary length n+1 such that the number of contiguous palindromic bit patterns in the binary representation is minimal. A206927

a(n) = ∑_{k=0..floor(n/2)} binomial(k+2,4·n-8·k+2). A390222

The dimension of the space of invariant tensors in the n-th tensor power of the adjoint representation of the exceptional Lie algebra E8. A179663

Number of ordered triples (w,x,y) with all terms in {-n,...-1,1,...,n} and w+x+y>0. A211545

a(n) = (∑_j=1..3 StirlingS1(3,j)*(2^j-1)ⁿ)/3!. A341590

a(n) = A076969(n)^1/3. A76970

1-sequence of reduction of pentagonal numbers sequence by x² -> x+1. A192146

Symmetric square table of coefficients, read by antidiagonals, where T(n,k) is the coefficient of xⁿ*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x-y) + xy·f(x,y)². A86620

Triangle T(n,m) by rows: The number of tatami tilings of a 3 by n grid with dimers and m monomers. A272472