What are the numbers divisible by 3012?

3012, 6024, 9036, 12048, 15060, 18072, 21084, 24096, 27108, 30120, 33132, 36144, 39156, 42168, 45180, 48192, 51204, 54216, 57228, 60240, 63252, 66264, 69276, 72288, 75300, 78312, 81324, 84336, 87348, 90360, 93372, 96384, 99396

There is a total of 33 numbers (up to 100000) that are divisible by 3012.
The sum of these numbers is 1689732.
The arithmetic mean of these numbers is 51204.

How to find the numbers divisible by 3012?

Finding all the numbers that can be divided by 3012 is essentially the same as searching for the multiples of 3012: if a number N is a multiple of 3012, then 3012 is a divisor of N.

Indeed, if we assume that N is a multiple of 3012, this means there exists an integer k such that:

$k \times 3012 = N$

Conversely, the result of N divided by 3012 is this same integer k (without any remainder):

$k = \frac{N}{3012}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3012 (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 3012 less than 100000):

1 × 3012 = 3012
2 × 3012 = 6024
3 × 3012 = 9036
...
32 × 3012 = 96384
33 × 3012 = 99396