Properties of the Number 17806

Seventeen Thousand Eight Hundred Six

Basics

Value: 17805 → 17806 → 17807

Parity: even

Prime: No

Previous Prime: 17791

Next Prime: 17807

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 29 × 307

Divisors: 1, 2, 29, 58, 307, 614, 8903, 17806

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110001110

Octal: 42616

Duodecimal: A37A

Hexadecimal: 458e

Square: 317053636

Square Root: 133.43912469736904

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..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281165

Defining sequence for an inverse Fredholm-Rueppel triangle. A104977

MM-numbers of crossing, capturing multiset partitions (with empty parts allowed). A326259

G.f.: ∑_k>=1 x^2·k/(1+x^2·k) * ∏_k>=1 1/(1-x^k). A305121

Number of minimal total dominating sets in the n-pan graph. A303148

Numbers k such that k divides 1 + ∑_j=1..k prime(j)¹¹. A233193

Number of nX3 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281160

Number of nX6 0..1 arrays with no element equal to more than three of its king-move neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281163

Binomial coefficients C(90,n). A17806

G.f. A(x) satisfies A(3·x²) = 2·x² + A(x)² - 2·A(x)³. A389475