Properties of the Number 17814

Seventeen Thousand Eight Hundred Fourteen

Basics

Value: 17813 → 17814 → 17815

Parity: even

Prime: No

Previous Prime: 17807

Next Prime: 17827

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2969

Divisors: 1, 2, 3, 6, 2969, 5938, 8907, 17814

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010110010110

Octal: 42626

Duodecimal: A386

Hexadecimal: 4596

Square: 317338596

Square Root: 133.46909754696028

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

Numbers k such that σ(k+2) = σ(k). A7373

Number of connected components of n faces of the rhombicuboctahedron up to the 48 rotations and reflections of the rhombicuboctahedron. A384070

Expansion of ∏_k>=1 1/(1 - (3·k-1)*x^3·k-1). A265820

Expansion of ∏_k>=1 1/(1-x^k+7)^k. A263363

Number of n-node unlabeled rooted trees with thinning limbs and root outdegree (branching factor) 5. A244706

Bell triangle A011971 squared. A95799

a(n) = floor(((1+sqrt(2))/2)ⁿ). A125894

Number of 0..n arrays x(0..3) of 4 elements with nondecreasing average value and 0..n occur with instance counts within one of each other. A200943

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 118", based on the 5-celled von Neumann neighborhood. A270187

Expansion of ∑_k>=0 x^k*(k+1) / ∏_j=1..k (1 - j·x^j). A306663