What are the numbers divisible by 9150?

9150, 18300, 27450, 36600, 45750, 54900, 64050, 73200, 82350, 91500

There is a total of 10 numbers (up to 100000) that are divisible by 9150.
The sum of these numbers is 503250.
The arithmetic mean of these numbers is 50325.

How to find the numbers divisible by 9150?

Finding all the numbers that can be divided by 9150 is essentially the same as searching for the multiples of 9150: if a number N is a multiple of 9150, then 9150 is a divisor of N.

Indeed, if we assume that N is a multiple of 9150, this means there exists an integer k such that:

$k \times 9150 = N$

Conversely, the result of N divided by 9150 is this same integer k (without any remainder):

$k = \frac{N}{9150}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9150 (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 9150 less than 100000):

1 × 9150 = 9150
2 × 9150 = 18300
3 × 9150 = 27450
...
9 × 9150 = 82350
10 × 9150 = 91500