What are the numbers divisible by 9123?

9123, 18246, 27369, 36492, 45615, 54738, 63861, 72984, 82107, 91230

There is a total of 10 numbers (up to 100000) that are divisible by 9123.
The sum of these numbers is 501765.
The arithmetic mean of these numbers is 50176.5.

How to find the numbers divisible by 9123?

Finding all the numbers that can be divided by 9123 is essentially the same as searching for the multiples of 9123: if a number N is a multiple of 9123, then 9123 is a divisor of N.

Indeed, if we assume that N is a multiple of 9123, this means there exists an integer k such that:

$k \times 9123 = N$

Conversely, the result of N divided by 9123 is this same integer k (without any remainder):

$k = \frac{N}{9123}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9123 (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 9123 less than 100000):

1 × 9123 = 9123
2 × 9123 = 18246
3 × 9123 = 27369
...
9 × 9123 = 82107
10 × 9123 = 91230