What are the numbers divisible by 8223?

8223, 16446, 24669, 32892, 41115, 49338, 57561, 65784, 74007, 82230, 90453, 98676

There is a total of 12 numbers (up to 100000) that are divisible by 8223.
The sum of these numbers is 641394.
The arithmetic mean of these numbers is 53449.5.

How to find the numbers divisible by 8223?

Finding all the numbers that can be divided by 8223 is essentially the same as searching for the multiples of 8223: if a number N is a multiple of 8223, then 8223 is a divisor of N.

Indeed, if we assume that N is a multiple of 8223, this means there exists an integer k such that:

$k \times 8223 = N$

Conversely, the result of N divided by 8223 is this same integer k (without any remainder):

$k = \frac{N}{8223}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8223 (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 8223 less than 100000):

1 × 8223 = 8223
2 × 8223 = 16446
3 × 8223 = 24669
...
11 × 8223 = 90453
12 × 8223 = 98676