Properties of the Number 18038

Eighteen Thousand Thirty-Eight

Basics

Value: 18037 → 18038 → 18039

Parity: even

Prime: No

Previous Prime: 18013

Next Prime: 18041

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 29 × 311

Divisors: 1, 2, 29, 58, 311, 622, 9019, 18038

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100011001110110

Octal: 43166

Duodecimal: A532

Hexadecimal: 4676

Square: 325369444

Square Root: 134.30562162471085

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 partitions of n in which no parts are multiples of 3. A726

Bernoulli number B_n has denominator 354. A255684

Number of noncrossing path sets on n nodes up to rotation and reflection with each path having a prime number of nodes. A303731

a(n) = A293857(n)/A010551(n). A293984

Cost of traversing leftmost tree of height n through splaying. A100625

Triangle T(n,k) = A015442(k) - A015442(n) + A015442(n-k) read by rows. A176264

Smallest possible largest element of a 2 by n average arrays where repetitions are not allowed without diagonals. A195752

Powers of cube root of 21 rounded up. A18038

Permanent of the (0,1)-matrix with ij-th entry equal to zero iff (i=1,j=1),(i=1,j=2),(i=1,j=3),(i=2,j=3),(i=3,j=3),... In other words, the ij-th entry of the matrix is zero iff it is on the path which start from the entry (i=1,j=1) and moves in the matrix alternating 3 steps to the right to 3 steps down. A98926

Triangle of the coefficient [x^k] of the polynomial 2ⁿ*s_n(x) generated by exp(x*(1 - sqrt(1+t²))/t) = ∑_n>=0 s_n(x)*t^k/k! in row n, column k. A137378