What are the numbers divisible by 8082?

8082, 16164, 24246, 32328, 40410, 48492, 56574, 64656, 72738, 80820, 88902, 96984

There is a total of 12 numbers (up to 100000) that are divisible by 8082.
The sum of these numbers is 630396.
The arithmetic mean of these numbers is 52533.

How to find the numbers divisible by 8082?

Finding all the numbers that can be divided by 8082 is essentially the same as searching for the multiples of 8082: if a number N is a multiple of 8082, then 8082 is a divisor of N.

Indeed, if we assume that N is a multiple of 8082, this means there exists an integer k such that:

$k \times 8082 = N$

Conversely, the result of N divided by 8082 is this same integer k (without any remainder):

$k = \frac{N}{8082}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8082 (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 8082 less than 100000):

1 × 8082 = 8082
2 × 8082 = 16164
3 × 8082 = 24246
...
11 × 8082 = 88902
12 × 8082 = 96984