What are the numbers divisible by 8075?

8075, 16150, 24225, 32300, 40375, 48450, 56525, 64600, 72675, 80750, 88825, 96900

There is a total of 12 numbers (up to 100000) that are divisible by 8075.
The sum of these numbers is 629850.
The arithmetic mean of these numbers is 52487.5.

How to find the numbers divisible by 8075?

Finding all the numbers that can be divided by 8075 is essentially the same as searching for the multiples of 8075: if a number N is a multiple of 8075, then 8075 is a divisor of N.

Indeed, if we assume that N is a multiple of 8075, this means there exists an integer k such that:

$k \times 8075 = N$

Conversely, the result of N divided by 8075 is this same integer k (without any remainder):

$k = \frac{N}{8075}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8075 (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 8075 less than 100000):

1 × 8075 = 8075
2 × 8075 = 16150
3 × 8075 = 24225
...
11 × 8075 = 88825
12 × 8075 = 96900