What are the numbers divisible by 9004?

9004, 18008, 27012, 36016, 45020, 54024, 63028, 72032, 81036, 90040, 99044

There is a total of 11 numbers (up to 100000) that are divisible by 9004.
The sum of these numbers is 594264.
The arithmetic mean of these numbers is 54024.

How to find the numbers divisible by 9004?

Finding all the numbers that can be divided by 9004 is essentially the same as searching for the multiples of 9004: if a number N is a multiple of 9004, then 9004 is a divisor of N.

Indeed, if we assume that N is a multiple of 9004, this means there exists an integer k such that:

$k \times 9004 = N$

Conversely, the result of N divided by 9004 is this same integer k (without any remainder):

$k = \frac{N}{9004}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9004 (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 9004 less than 100000):

1 × 9004 = 9004
2 × 9004 = 18008
3 × 9004 = 27012
...
10 × 9004 = 90040
11 × 9004 = 99044