What are the numbers divisible by 8218?

8218, 16436, 24654, 32872, 41090, 49308, 57526, 65744, 73962, 82180, 90398, 98616

There is a total of 12 numbers (up to 100000) that are divisible by 8218.
The sum of these numbers is 641004.
The arithmetic mean of these numbers is 53417.

How to find the numbers divisible by 8218?

Finding all the numbers that can be divided by 8218 is essentially the same as searching for the multiples of 8218: if a number N is a multiple of 8218, then 8218 is a divisor of N.

Indeed, if we assume that N is a multiple of 8218, this means there exists an integer k such that:

$k \times 8218 = N$

Conversely, the result of N divided by 8218 is this same integer k (without any remainder):

$k = \frac{N}{8218}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8218 (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 8218 less than 100000):

1 × 8218 = 8218
2 × 8218 = 16436
3 × 8218 = 24654
...
11 × 8218 = 90398
12 × 8218 = 98616