What are the numbers divisible by 8096?

8096, 16192, 24288, 32384, 40480, 48576, 56672, 64768, 72864, 80960, 89056, 97152

There is a total of 12 numbers (up to 100000) that are divisible by 8096.
The sum of these numbers is 631488.
The arithmetic mean of these numbers is 52624.

How to find the numbers divisible by 8096?

Finding all the numbers that can be divided by 8096 is essentially the same as searching for the multiples of 8096: if a number N is a multiple of 8096, then 8096 is a divisor of N.

Indeed, if we assume that N is a multiple of 8096, this means there exists an integer k such that:

$k \times 8096 = N$

Conversely, the result of N divided by 8096 is this same integer k (without any remainder):

$k = \frac{N}{8096}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8096 (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 8096 less than 100000):

1 × 8096 = 8096
2 × 8096 = 16192
3 × 8096 = 24288
...
11 × 8096 = 89056
12 × 8096 = 97152