16605

16605 is the natural number that comes after 16604 and before 16606. In mathematics, it is an odd composite integer. Its prime factorization is 3^4 × 5 × 41, which can also be written as 81 × 205 or 405 × 41. This factorization implies several divisibility properties: 16605 is divisible by 3, 9, 27, and 81 (due to the 3^4 factor), as well as by 5 and by 41. Consequently, it is divisible by many composite numbers such as 15, 45, 135, 205, 615, 1845, and 3321, among others.

The number has exactly 20 positive divisors, corresponding to all products of the form 3^a · 5^b · 41^c where a ∈ {0,1,2,3,4}, b ∈ {0,1}, and c ∈ {0,1}. This follows from the divisor-counting formula (4+1)(1+1)(1+1) = 20.

In numerical contexts, 16605 is used as a representative example of a composite number with a simple prime factorization, illustrating how multiple small primes combine to form a larger integer. It does not belong to any widely noted special sequences beyond standard arithmetic properties and serves mainly as an instance of a product involving 3, 5, and 41. See also neighboring integers 16604 and 16606 for adjacent values.

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