Properties of the Number 18395

Eighteen Thousand Three Hundred Ninety-Five

Basics

Value: 18394 → 18395 → 18396

Parity: odd

Prime: No

Previous Prime: 18379

Next Prime: 18397

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 13 × 283

Divisors: 1, 5, 13, 65, 283, 1415, 3679, 18395

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011111011011

Octal: 43733

Duodecimal: A78B

Hexadecimal: 47db

Square: 338376025

Square Root: 135.6281681657612

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 every element equal to 0, 2, 3 or 4 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302367

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208420

Expansion of e.g.f. 1/(1 + (exp(x) - 1)⁴ / 24). A354393

Binomial transform of A156616. A294504

Number of positions that the 3 X 3 X 3 Rubik cube puzzle can be in after exactly n moves, up to equivalence under the full group of order 48 of the cube and with a half-turn is considered to be 2 moves. A5452

Seventh column of quintinomial coefficients. A64056

Ulam's spiral (NNE spoke). A143861

a(n) = ∑_k=1..n (k/gcd(n, k))⁴. A343514

Regular triangle where T(n,k) is the number of non-isomorphic multiset partitions of k-element multiset partitions of multisets of size n. A330473

Number of n X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 0 and 0 1 1 vertically. A208415