What are the numbers divisible by 9075?

9075, 18150, 27225, 36300, 45375, 54450, 63525, 72600, 81675, 90750, 99825

There is a total of 11 numbers (up to 100000) that are divisible by 9075.
The sum of these numbers is 598950.
The arithmetic mean of these numbers is 54450.

How to find the numbers divisible by 9075?

Finding all the numbers that can be divided by 9075 is essentially the same as searching for the multiples of 9075: if a number N is a multiple of 9075, then 9075 is a divisor of N.

Indeed, if we assume that N is a multiple of 9075, this means there exists an integer k such that:

$k \times 9075 = N$

Conversely, the result of N divided by 9075 is this same integer k (without any remainder):

$k = \frac{N}{9075}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9075 (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 9075 less than 100000):

1 × 9075 = 9075
2 × 9075 = 18150
3 × 9075 = 27225
...
10 × 9075 = 90750
11 × 9075 = 99825