What are the numbers divisible by 8128?

8128, 16256, 24384, 32512, 40640, 48768, 56896, 65024, 73152, 81280, 89408, 97536

There is a total of 12 numbers (up to 100000) that are divisible by 8128.
The sum of these numbers is 633984.
The arithmetic mean of these numbers is 52832.

How to find the numbers divisible by 8128?

Finding all the numbers that can be divided by 8128 is essentially the same as searching for the multiples of 8128: if a number N is a multiple of 8128, then 8128 is a divisor of N.

Indeed, if we assume that N is a multiple of 8128, this means there exists an integer k such that:

$k \times 8128 = N$

Conversely, the result of N divided by 8128 is this same integer k (without any remainder):

$k = \frac{N}{8128}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8128 (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 8128 less than 100000):

1 × 8128 = 8128
2 × 8128 = 16256
3 × 8128 = 24384
...
11 × 8128 = 89408
12 × 8128 = 97536