What are the numbers divisible by 8192?

8192, 16384, 24576, 32768, 40960, 49152, 57344, 65536, 73728, 81920, 90112, 98304

There is a total of 12 numbers (up to 100000) that are divisible by 8192.
The sum of these numbers is 638976.
The arithmetic mean of these numbers is 53248.

How to find the numbers divisible by 8192?

Finding all the numbers that can be divided by 8192 is essentially the same as searching for the multiples of 8192: if a number N is a multiple of 8192, then 8192 is a divisor of N.

Indeed, if we assume that N is a multiple of 8192, this means there exists an integer k such that:

$k \times 8192 = N$

Conversely, the result of N divided by 8192 is this same integer k (without any remainder):

$k = \frac{N}{8192}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8192 (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 8192 less than 100000):

1 × 8192 = 8192
2 × 8192 = 16384
3 × 8192 = 24576
...
11 × 8192 = 90112
12 × 8192 = 98304