What are the numbers divisible by 8221?

8221, 16442, 24663, 32884, 41105, 49326, 57547, 65768, 73989, 82210, 90431, 98652

There is a total of 12 numbers (up to 100000) that are divisible by 8221.
The sum of these numbers is 641238.
The arithmetic mean of these numbers is 53436.5.

How to find the numbers divisible by 8221?

Finding all the numbers that can be divided by 8221 is essentially the same as searching for the multiples of 8221: if a number N is a multiple of 8221, then 8221 is a divisor of N.

Indeed, if we assume that N is a multiple of 8221, this means there exists an integer k such that:

$k \times 8221 = N$

Conversely, the result of N divided by 8221 is this same integer k (without any remainder):

$k = \frac{N}{8221}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8221 (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 8221 less than 100000):

1 × 8221 = 8221
2 × 8221 = 16442
3 × 8221 = 24663
...
11 × 8221 = 90431
12 × 8221 = 98652