What are the numbers divisible by 6005?

6005, 12010, 18015, 24020, 30025, 36030, 42035, 48040, 54045, 60050, 66055, 72060, 78065, 84070, 90075, 96080

There is a total of 16 numbers (up to 100000) that are divisible by 6005.
The sum of these numbers is 816680.
The arithmetic mean of these numbers is 51042.5.

How to find the numbers divisible by 6005?

Finding all the numbers that can be divided by 6005 is essentially the same as searching for the multiples of 6005: if a number N is a multiple of 6005, then 6005 is a divisor of N.

Indeed, if we assume that N is a multiple of 6005, this means there exists an integer k such that:

$k \times 6005 = N$

Conversely, the result of N divided by 6005 is this same integer k (without any remainder):

$k = \frac{N}{6005}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6005 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 6005 less than 100000):

1 × 6005 = 6005
2 × 6005 = 12010
3 × 6005 = 18015
...
15 × 6005 = 90075
16 × 6005 = 96080