What are the numbers divisible by 9084?

9084, 18168, 27252, 36336, 45420, 54504, 63588, 72672, 81756, 90840, 99924

There is a total of 11 numbers (up to 100000) that are divisible by 9084.
The sum of these numbers is 599544.
The arithmetic mean of these numbers is 54504.

How to find the numbers divisible by 9084?

Finding all the numbers that can be divided by 9084 is essentially the same as searching for the multiples of 9084: if a number N is a multiple of 9084, then 9084 is a divisor of N.

Indeed, if we assume that N is a multiple of 9084, this means there exists an integer k such that:

$k \times 9084 = N$

Conversely, the result of N divided by 9084 is this same integer k (without any remainder):

$k = \frac{N}{9084}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 9084 (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 9084 less than 100000):

1 × 9084 = 9084
2 × 9084 = 18168
3 × 9084 = 27252
...
10 × 9084 = 90840
11 × 9084 = 99924