What are the numbers divisible by 9009?

9009, 18018, 27027, 36036, 45045, 54054, 63063, 72072, 81081, 90090, 99099

There is a total of 11 numbers (up to 100000) that are divisible by 9009.
The sum of these numbers is 594594.
The arithmetic mean of these numbers is 54054.

How to find the numbers divisible by 9009?

Finding all the numbers that can be divided by 9009 is essentially the same as searching for the multiples of 9009: if a number N is a multiple of 9009, then 9009 is a divisor of N.

Indeed, if we assume that N is a multiple of 9009, this means there exists an integer k such that:

$k \times 9009 = N$

Conversely, the result of N divided by 9009 is this same integer k (without any remainder):

$k = \frac{N}{9009}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9009 (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 9009 less than 100000):

1 × 9009 = 9009
2 × 9009 = 18018
3 × 9009 = 27027
...
10 × 9009 = 90090
11 × 9009 = 99099