What are the numbers divisible by 8175?

8175, 16350, 24525, 32700, 40875, 49050, 57225, 65400, 73575, 81750, 89925, 98100

There is a total of 12 numbers (up to 100000) that are divisible by 8175.
The sum of these numbers is 637650.
The arithmetic mean of these numbers is 53137.5.

How to find the numbers divisible by 8175?

Finding all the numbers that can be divided by 8175 is essentially the same as searching for the multiples of 8175: if a number N is a multiple of 8175, then 8175 is a divisor of N.

Indeed, if we assume that N is a multiple of 8175, this means there exists an integer k such that:

$k \times 8175 = N$

Conversely, the result of N divided by 8175 is this same integer k (without any remainder):

$k = \frac{N}{8175}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8175 (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 8175 less than 100000):

1 × 8175 = 8175
2 × 8175 = 16350
3 × 8175 = 24525
...
11 × 8175 = 89925
12 × 8175 = 98100