What are the numbers divisible by 8116?

8116, 16232, 24348, 32464, 40580, 48696, 56812, 64928, 73044, 81160, 89276, 97392

There is a total of 12 numbers (up to 100000) that are divisible by 8116.
The sum of these numbers is 633048.
The arithmetic mean of these numbers is 52754.

How to find the numbers divisible by 8116?

Finding all the numbers that can be divided by 8116 is essentially the same as searching for the multiples of 8116: if a number N is a multiple of 8116, then 8116 is a divisor of N.

Indeed, if we assume that N is a multiple of 8116, this means there exists an integer k such that:

$k \times 8116 = N$

Conversely, the result of N divided by 8116 is this same integer k (without any remainder):

$k = \frac{N}{8116}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8116 (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 8116 less than 100000):

1 × 8116 = 8116
2 × 8116 = 16232
3 × 8116 = 24348
...
11 × 8116 = 89276
12 × 8116 = 97392