What are the numbers divisible by 8224?

8224, 16448, 24672, 32896, 41120, 49344, 57568, 65792, 74016, 82240, 90464, 98688

There is a total of 12 numbers (up to 100000) that are divisible by 8224.
The sum of these numbers is 641472.
The arithmetic mean of these numbers is 53456.

How to find the numbers divisible by 8224?

Finding all the numbers that can be divided by 8224 is essentially the same as searching for the multiples of 8224: if a number N is a multiple of 8224, then 8224 is a divisor of N.

Indeed, if we assume that N is a multiple of 8224, this means there exists an integer k such that:

$k \times 8224 = N$

Conversely, the result of N divided by 8224 is this same integer k (without any remainder):

$k = \frac{N}{8224}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8224 (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 8224 less than 100000):

1 × 8224 = 8224
2 × 8224 = 16448
3 × 8224 = 24672
...
11 × 8224 = 90464
12 × 8224 = 98688