Properties of the Number 16605

Sixteen Thousand Six Hundred Five

Basics

Value: 16604 → 16605 → 16606

Parity: odd

Prime: No

Previous Prime: 16603

Next Prime: 16607

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ⁴ × 5 × 41

Divisors: 1, 3, 5, 9, 15, 27, 41, 45, 81, 123

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100000011011101

Octal: 40335

Duodecimal: 9739

Hexadecimal: 40dd

Square: 275726025

Square Root: 128.86038956948718

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

Sum of all the parts in the partitions of n into 6 squarefree parts. A308903

k such that k-th prime is of the form 2n² + 3n + 3. A96690

a(n) = 11 + floor( (1 + ∑_j=1..n-1 a(j)) / 2). A120139

Number of walks on cubic lattice. A5570

Ordered factorizations with one level of parentheses indexed by prime signatures. A050354(A025487). A50355

a(n) = 46·n² - 1. A158634

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 435", based on the 5-celled von Neumann neighborhood. A272151

a(n) = n²*(1+n)*(1+n²)/4. A328994

Square array read by antidiagonals: A(n,k) is the number of ordered solutions (x₁, x₂, ..., x_n) to equation φ(∏_i=1..n x_i) = k * ∑_i=1..n φ(x_i), or -1 if there are infinitely many solutions, n >= 1, k >= 1. A336710

G.f. A(x) satisfies: A(x) = (1 + x + x²)² * A(x³) / (1 - x). A393313