What are the numbers divisible by 9000?

9000, 18000, 27000, 36000, 45000, 54000, 63000, 72000, 81000, 90000, 99000

There is a total of 11 numbers (up to 100000) that are divisible by 9000.
The sum of these numbers is 594000.
The arithmetic mean of these numbers is 54000.

How to find the numbers divisible by 9000?

Finding all the numbers that can be divided by 9000 is essentially the same as searching for the multiples of 9000: if a number N is a multiple of 9000, then 9000 is a divisor of N.

Indeed, if we assume that N is a multiple of 9000, this means there exists an integer k such that:

$k \times 9000 = N$

Conversely, the result of N divided by 9000 is this same integer k (without any remainder):

$k = \frac{N}{9000}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9000 (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 9000 less than 100000):

1 × 9000 = 9000
2 × 9000 = 18000
3 × 9000 = 27000
...
10 × 9000 = 90000
11 × 9000 = 99000