Properties of the Number 18206

Eighteen Thousand Two Hundred Six

Basics

Value: 18205 → 18206 → 18207

Parity: even

Prime: No

Previous Prime: 18199

Next Prime: 18211

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 9103

Divisors: 1, 2, 9103, 18206

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011100011110

Octal: 43436

Duodecimal: A652

Hexadecimal: 471e

Square: 331458436

Square Root: 134.929611279363

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) = ceiling(a(n-1)*3/2) with a(1) = 1. A61419

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (2,4,4,...) and super- and subdiagonals (1,1,1,...). A124575

Satisfies ∑_n>=0 a(n)*xⁿ = x * ∏_n>=0 (1 + xⁿ + x^2·n)^a(n). A248869

Number of non-equivalent binary n X n matrices with three pairwise nonadjacent 1's. A232568

Expansion of 1/(1 - x) * ∏_k>=0 1/(1 - x^{3^k})^{3^(k+1}). A321344

Expansion of ∏_{i>=1, j>=1, k>=1} 1/(1 - i·j*k·x^i·j*k). A318481

Values of register b when register a becomes 0 for the two register machine {i[1], i[1], i[1], d[2,1], d[1,6], i[2], d[1,5], d[2,3]}. A156623

Number of (n+1) X 4 0..3 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A206338

Expansion of (1 + x + 21·x² + x³ + x⁴)/(1 - x)⁵. A257602

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 633", based on the 5-celled von Neumann neighborhood. A273301