Properties of the Number 18006

Eighteen Thousand Six

Basics

Value: 18005 → 18006 → 18007

Parity: even

Prime: No

Previous Prime: 17989

Next Prime: 18013

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 3001

Divisors: 1, 2, 3, 6, 3001, 6002, 9003, 18006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100011001010110

Octal: 43126

Duodecimal: A506

Hexadecimal: 4656

Square: 324216036

Square Root: 134.1864374666829

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

a(n) = Least i in range [A165598(n),A165598(n+1)] for which abs(A165597(i)) gets the maximum value in that range. A165599

E.g.f.: A(x) = ... x·exp(x⁴) o x·exp(x³) o x·exp(x²) o x·exp(x), the composition of functions x·exp(xⁿ) for n = 1,2,3,... A277180

Aliquot sequence starting at 3630. A143930

Expansion of ∏_k>=1 ((1 - 4^k*x^k)/(1 + 4^k*x^k))^{1/4^k}. A303490

Number of length 7+3 0..n arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth. A248544

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 158", based on the 5-celled von Neumann neighborhood. A270335

Powers of cube root of 11 rounded down. A18006

T(n,k)=Number of length n+3 0..k arrays with every four consecutive terms having the sum of some three elements equal to three times the fourth. A248537

E.g.f.: logarithm of G(x)/x where G(x) = ... x·exp(x⁴) o x·exp(x³) o x·exp(x²) o x·exp(x), a composition of functions x·exp(xⁿ) for n = 1,2,3,... A277182

Number of ways to place 6 nonattacking bishops on a 6 X n board. A172211