What are the numbers divisible by 8126?

8126, 16252, 24378, 32504, 40630, 48756, 56882, 65008, 73134, 81260, 89386, 97512

There is a total of 12 numbers (up to 100000) that are divisible by 8126.
The sum of these numbers is 633828.
The arithmetic mean of these numbers is 52819.

How to find the numbers divisible by 8126?

Finding all the numbers that can be divided by 8126 is essentially the same as searching for the multiples of 8126: if a number N is a multiple of 8126, then 8126 is a divisor of N.

Indeed, if we assume that N is a multiple of 8126, this means there exists an integer k such that:

$k \times 8126 = N$

Conversely, the result of N divided by 8126 is this same integer k (without any remainder):

$k = \frac{N}{8126}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8126 (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 8126 less than 100000):

1 × 8126 = 8126
2 × 8126 = 16252
3 × 8126 = 24378
...
11 × 8126 = 89386
12 × 8126 = 97512