What are the numbers divisible by 9115?

9115, 18230, 27345, 36460, 45575, 54690, 63805, 72920, 82035, 91150

There is a total of 10 numbers (up to 100000) that are divisible by 9115.
The sum of these numbers is 501325.
The arithmetic mean of these numbers is 50132.5.

How to find the numbers divisible by 9115?

Finding all the numbers that can be divided by 9115 is essentially the same as searching for the multiples of 9115: if a number N is a multiple of 9115, then 9115 is a divisor of N.

Indeed, if we assume that N is a multiple of 9115, this means there exists an integer k such that:

$k \times 9115 = N$

Conversely, the result of N divided by 9115 is this same integer k (without any remainder):

$k = \frac{N}{9115}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9115 (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 9115 less than 100000):

1 × 9115 = 9115
2 × 9115 = 18230
3 × 9115 = 27345
...
9 × 9115 = 82035
10 × 9115 = 91150