What are the numbers divisible by 9005?

9005, 18010, 27015, 36020, 45025, 54030, 63035, 72040, 81045, 90050, 99055

There is a total of 11 numbers (up to 100000) that are divisible by 9005.
The sum of these numbers is 594330.
The arithmetic mean of these numbers is 54030.

How to find the numbers divisible by 9005?

Finding all the numbers that can be divided by 9005 is essentially the same as searching for the multiples of 9005: if a number N is a multiple of 9005, then 9005 is a divisor of N.

Indeed, if we assume that N is a multiple of 9005, this means there exists an integer k such that:

$k \times 9005 = N$

Conversely, the result of N divided by 9005 is this same integer k (without any remainder):

$k = \frac{N}{9005}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9005 (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 9005 less than 100000):

1 × 9005 = 9005
2 × 9005 = 18010
3 × 9005 = 27015
...
10 × 9005 = 90050
11 × 9005 = 99055