What are the numbers divisible by 9066?

9066, 18132, 27198, 36264, 45330, 54396, 63462, 72528, 81594, 90660, 99726

There is a total of 11 numbers (up to 100000) that are divisible by 9066.
The sum of these numbers is 598356.
The arithmetic mean of these numbers is 54396.

How to find the numbers divisible by 9066?

Finding all the numbers that can be divided by 9066 is essentially the same as searching for the multiples of 9066: if a number N is a multiple of 9066, then 9066 is a divisor of N.

Indeed, if we assume that N is a multiple of 9066, this means there exists an integer k such that:

$k \times 9066 = N$

Conversely, the result of N divided by 9066 is this same integer k (without any remainder):

$k = \frac{N}{9066}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9066 (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 9066 less than 100000):

1 × 9066 = 9066
2 × 9066 = 18132
3 × 9066 = 27198
...
10 × 9066 = 90660
11 × 9066 = 99726