What are the numbers divisible by 9164?

9164, 18328, 27492, 36656, 45820, 54984, 64148, 73312, 82476, 91640

There is a total of 10 numbers (up to 100000) that are divisible by 9164.
The sum of these numbers is 504020.
The arithmetic mean of these numbers is 50402.

How to find the numbers divisible by 9164?

Finding all the numbers that can be divided by 9164 is essentially the same as searching for the multiples of 9164: if a number N is a multiple of 9164, then 9164 is a divisor of N.

Indeed, if we assume that N is a multiple of 9164, this means there exists an integer k such that:

$k \times 9164 = N$

Conversely, the result of N divided by 9164 is this same integer k (without any remainder):

$k = \frac{N}{9164}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9164 (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 9164 less than 100000):

1 × 9164 = 9164
2 × 9164 = 18328
3 × 9164 = 27492
...
9 × 9164 = 82476
10 × 9164 = 91640