What are the numbers divisible by 8099?

8099, 16198, 24297, 32396, 40495, 48594, 56693, 64792, 72891, 80990, 89089, 97188

There is a total of 12 numbers (up to 100000) that are divisible by 8099.
The sum of these numbers is 631722.
The arithmetic mean of these numbers is 52643.5.

How to find the numbers divisible by 8099?

Finding all the numbers that can be divided by 8099 is essentially the same as searching for the multiples of 8099: if a number N is a multiple of 8099, then 8099 is a divisor of N.

Indeed, if we assume that N is a multiple of 8099, this means there exists an integer k such that:

$k \times 8099 = N$

Conversely, the result of N divided by 8099 is this same integer k (without any remainder):

$k = \frac{N}{8099}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8099 (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 8099 less than 100000):

1 × 8099 = 8099
2 × 8099 = 16198
3 × 8099 = 24297
...
11 × 8099 = 89089
12 × 8099 = 97188