What are the numbers divisible by 9006?

9006, 18012, 27018, 36024, 45030, 54036, 63042, 72048, 81054, 90060, 99066

There is a total of 11 numbers (up to 100000) that are divisible by 9006.
The sum of these numbers is 594396.
The arithmetic mean of these numbers is 54036.

How to find the numbers divisible by 9006?

Finding all the numbers that can be divided by 9006 is essentially the same as searching for the multiples of 9006: if a number N is a multiple of 9006, then 9006 is a divisor of N.

Indeed, if we assume that N is a multiple of 9006, this means there exists an integer k such that:

$k \times 9006 = N$

Conversely, the result of N divided by 9006 is this same integer k (without any remainder):

$k = \frac{N}{9006}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9006 (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 9006 less than 100000):

1 × 9006 = 9006
2 × 9006 = 18012
3 × 9006 = 27018
...
10 × 9006 = 90060
11 × 9006 = 99066