What are the numbers divisible by 8216?

8216, 16432, 24648, 32864, 41080, 49296, 57512, 65728, 73944, 82160, 90376, 98592

There is a total of 12 numbers (up to 100000) that are divisible by 8216.
The sum of these numbers is 640848.
The arithmetic mean of these numbers is 53404.

How to find the numbers divisible by 8216?

Finding all the numbers that can be divided by 8216 is essentially the same as searching for the multiples of 8216: if a number N is a multiple of 8216, then 8216 is a divisor of N.

Indeed, if we assume that N is a multiple of 8216, this means there exists an integer k such that:

$k \times 8216 = N$

Conversely, the result of N divided by 8216 is this same integer k (without any remainder):

$k = \frac{N}{8216}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8216 (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 8216 less than 100000):

1 × 8216 = 8216
2 × 8216 = 16432
3 × 8216 = 24648
...
11 × 8216 = 90376
12 × 8216 = 98592