Properties of the Number 18369

Eighteen Thousand Three Hundred Sixty-Nine

Basics

Value: 18368 → 18369 → 18370

Parity: odd

Prime: No

Previous Prime: 18367

Next Prime: 18371

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 13 × 157

Divisors: 1, 3, 9, 13, 39, 117, 157, 471, 1413, 2041

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011111000001

Octal: 43701

Duodecimal: A769

Hexadecimal: 47c1

Square: 337420161

Square Root: 135.5322839769182

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 (n+1) X (k+1) arrays of permutations of 0..(n+1)*(k+1)-1 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order. A263519

Row sums of triangle A049404. A49425

a(n) = ∑_k=1..n floor(n/k)³. A318742

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: exp(∑_j=1..k+1 binomial(k,j-1)*x^j/j). A293991

Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0}. A79997

a(n) = n! * ∑_{k=0..floor(n/3)} (n/6)^k * binomial(n-2·k,k)/(n-2·k)!. A362173

Expansion of g²/(1 - x·g)⁴, where g = 1+x·g³ is the g.f. of A001764. A391173

Write 1, 2, 3, 4, ... counterclockwise in a hexagonal spiral around 0 starting left down, then a(n) is the sequence found by reading from 0 in the vertical upward direction. A63436

Numbers that are, at the same time, the sum of: two positive squares, a positive square and a positive cube, and two positive cubes. In other words, intersection of A000404, A003325 and A055394. A273498

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A294365