Properties of the Number 6605

Six Thousand Six Hundred Five

Basics

Value: 6604 → 6605 → 6606

Parity: odd

Prime: No

Previous Prime: 6599

Next Prime: 6607

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 1321

Divisors: 1, 5, 1321, 6605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111001101

Octal: 14715

Duodecimal: 39A5

Hexadecimal: 19cd

Square: 43626025

Square Root: 81.27115109311545

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

A046802(x,y) --> A046802(x,y+1), transform of e.g.f. for the graded number of positroids of the totally nonnegative Grassmannians G+(k,n); enumerates faces of the stellahedra. A248727

Number of strings of length n over a 5-letter alphabet that begin with a nontrivial palindrome. A249638

Number of regions in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357058

Number of partitions p of n such that median(p) = multiplicity(max(p)). A240209

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A299350

a(n) = 10·n² - 6·n + 1. A87348

Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 627", based on the 5-celled von Neumann neighborhood. A273274

Square array T(n,k), n >= 1, k >= 0, read by antidiagonals downwards, where T(n,k) = ∑_j=1..n k^floor(n/j - 1). A345032

G.f. A(x) = (1/3) * ∑_n>=0 ∏_k=0..2·n (x^k + xⁿ + x^2·n-k). A376530

Positions of high-water marks of A118421. A118423