What are the numbers divisible by 8215?

8215, 16430, 24645, 32860, 41075, 49290, 57505, 65720, 73935, 82150, 90365, 98580

There is a total of 12 numbers (up to 100000) that are divisible by 8215.
The sum of these numbers is 640770.
The arithmetic mean of these numbers is 53397.5.

How to find the numbers divisible by 8215?

Finding all the numbers that can be divided by 8215 is essentially the same as searching for the multiples of 8215: if a number N is a multiple of 8215, then 8215 is a divisor of N.

Indeed, if we assume that N is a multiple of 8215, this means there exists an integer k such that:

$k \times 8215 = N$

Conversely, the result of N divided by 8215 is this same integer k (without any remainder):

$k = \frac{N}{8215}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8215 (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 8215 less than 100000):

1 × 8215 = 8215
2 × 8215 = 16430
3 × 8215 = 24645
...
11 × 8215 = 90365
12 × 8215 = 98580