Properties of the Number 17810

Seventeen Thousand Eight Hundred Ten

Basics

Value: 17809 → 17810 → 17811

Parity: even

Prime: No

Previous Prime: 17807

Next Prime: 17827

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 13 × 137

Divisors: 1, 2, 5, 10, 13, 26, 65, 130, 137, 274

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110010010

Octal: 42622

Duodecimal: A382

Hexadecimal: 4592

Square: 317196100

Square Root: 133.4541119636259

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 of polyominoes with n cells, symmetric about diagonal 2. A56878

Triangle read by rows: T(n,k) is the number of permutations of [n] having k adjacent transpositions (0 <= k <= floor(n/2)). An adjacent transposition is a cycle of the form (i, i+1). A177248

Number of permutations of [n] having exactly two adjacent 2-cycles. A370426

a(n) = dot_product(1,2,...,n)*(5,6,...,n,1,2,3,4). A26043

Numerator of the least possible squared diameter of an enclosing circle of a strictly convex lattice n-gon. A322106

Number of polyominoes of n cells with both diagonal symmetries, for which the 180-degree rotational symmetry has an axis that coincides with the center of a square, but without 90-degree rotational symmetry. A351159

Numbers k that are the product of four distinct primes such that x²+y² = k has integer solutions. A248712

G.f.: ∑_n>=0 (x^2·n-1 + 1)ⁿ * xⁿ / (1 + x^2·n+1)ⁿ⁺¹, an even function. A326602

a(n) is the number of edges formed by n-secting the angles of a decagon. A335802

Nearest integer to modified Bessel function K_n(2). A167