What are the numbers divisible by 8109?

8109, 16218, 24327, 32436, 40545, 48654, 56763, 64872, 72981, 81090, 89199, 97308

There is a total of 12 numbers (up to 100000) that are divisible by 8109.
The sum of these numbers is 632502.
The arithmetic mean of these numbers is 52708.5.

How to find the numbers divisible by 8109?

Finding all the numbers that can be divided by 8109 is essentially the same as searching for the multiples of 8109: if a number N is a multiple of 8109, then 8109 is a divisor of N.

Indeed, if we assume that N is a multiple of 8109, this means there exists an integer k such that:

$k \times 8109 = N$

Conversely, the result of N divided by 8109 is this same integer k (without any remainder):

$k = \frac{N}{8109}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8109 (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 8109 less than 100000):

1 × 8109 = 8109
2 × 8109 = 16218
3 × 8109 = 24327
...
11 × 8109 = 89199
12 × 8109 = 97308