What are the numbers divisible by 8172?

8172, 16344, 24516, 32688, 40860, 49032, 57204, 65376, 73548, 81720, 89892, 98064

There is a total of 12 numbers (up to 100000) that are divisible by 8172.
The sum of these numbers is 637416.
The arithmetic mean of these numbers is 53118.

How to find the numbers divisible by 8172?

Finding all the numbers that can be divided by 8172 is essentially the same as searching for the multiples of 8172: if a number N is a multiple of 8172, then 8172 is a divisor of N.

Indeed, if we assume that N is a multiple of 8172, this means there exists an integer k such that:

$k \times 8172 = N$

Conversely, the result of N divided by 8172 is this same integer k (without any remainder):

$k = \frac{N}{8172}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8172 (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 8172 less than 100000):

1 × 8172 = 8172
2 × 8172 = 16344
3 × 8172 = 24516
...
11 × 8172 = 89892
12 × 8172 = 98064