What are the numbers divisible by 8198?

8198, 16396, 24594, 32792, 40990, 49188, 57386, 65584, 73782, 81980, 90178, 98376

There is a total of 12 numbers (up to 100000) that are divisible by 8198.
The sum of these numbers is 639444.
The arithmetic mean of these numbers is 53287.

How to find the numbers divisible by 8198?

Finding all the numbers that can be divided by 8198 is essentially the same as searching for the multiples of 8198: if a number N is a multiple of 8198, then 8198 is a divisor of N.

Indeed, if we assume that N is a multiple of 8198, this means there exists an integer k such that:

$k \times 8198 = N$

Conversely, the result of N divided by 8198 is this same integer k (without any remainder):

$k = \frac{N}{8198}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8198 (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 8198 less than 100000):

1 × 8198 = 8198
2 × 8198 = 16396
3 × 8198 = 24594
...
11 × 8198 = 90178
12 × 8198 = 98376