What are the numbers divisible by 9126?

9126, 18252, 27378, 36504, 45630, 54756, 63882, 73008, 82134, 91260

There is a total of 10 numbers (up to 100000) that are divisible by 9126.
The sum of these numbers is 501930.
The arithmetic mean of these numbers is 50193.

How to find the numbers divisible by 9126?

Finding all the numbers that can be divided by 9126 is essentially the same as searching for the multiples of 9126: if a number N is a multiple of 9126, then 9126 is a divisor of N.

Indeed, if we assume that N is a multiple of 9126, this means there exists an integer k such that:

$k \times 9126 = N$

Conversely, the result of N divided by 9126 is this same integer k (without any remainder):

$k = \frac{N}{9126}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9126 (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 9126 less than 100000):

1 × 9126 = 9126
2 × 9126 = 18252
3 × 9126 = 27378
...
9 × 9126 = 82134
10 × 9126 = 91260