Properties of the Number 17811

Seventeen Thousand Eight Hundred Eleven

Basics

Value: 17810 → 17811 → 17812

Parity: odd

Prime: No

Previous Prime: 17807

Next Prime: 17827

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 1979

Divisors: 1, 3, 9, 1979, 5937, 17811

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110010011

Octal: 42623

Duodecimal: A383

Hexadecimal: 4593

Square: 317231721

Square Root: 133.45785851721135

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 fixed (orientation matters) polyominoids (shapes made of faces of cubes) with n squares. A75678

Number of strip poly-IH68-tiles (holes allowed) with n cells. A182646

Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 6. A244535

Number of partitions of n with product of multiplicities of parts equal to 8. A266691

Square array read by descending antidiagonals: A(n,k) is the number of fixed n-dimensional (n,2)-polyominoids, n >= 2, of size k >= 1. A385715

Numbers k such that k and k² use only the digits 1, 2, 3, 7 and 8. A136982

a(n) = ∑_k=1..n k·lcm(k,k')/gcd(k,k'), where k' is arithmetic derivative of k. A190122

Number of 0..n arrays of length 6 with each element differing from at least one neighbor by 1 or less, starting with 0. A221685

Number of aperiodic necklaces (Lyndon words) with k<=6 black beads and n-k white beads. A277631

Irregular triangle read by rows: T(n,k) is the number of k-crossing partitions on 2n nodes, where all partition terms alternate in parity, counted up to reflection. A368054