What are the numbers divisible by 8204?

8204, 16408, 24612, 32816, 41020, 49224, 57428, 65632, 73836, 82040, 90244, 98448

There is a total of 12 numbers (up to 100000) that are divisible by 8204.
The sum of these numbers is 639912.
The arithmetic mean of these numbers is 53326.

How to find the numbers divisible by 8204?

Finding all the numbers that can be divided by 8204 is essentially the same as searching for the multiples of 8204: if a number N is a multiple of 8204, then 8204 is a divisor of N.

Indeed, if we assume that N is a multiple of 8204, this means there exists an integer k such that:

$k \times 8204 = N$

Conversely, the result of N divided by 8204 is this same integer k (without any remainder):

$k = \frac{N}{8204}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8204 (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 8204 less than 100000):

1 × 8204 = 8204
2 × 8204 = 16408
3 × 8204 = 24612
...
11 × 8204 = 90244
12 × 8204 = 98448