What are the numbers divisible by 3018?

3018, 6036, 9054, 12072, 15090, 18108, 21126, 24144, 27162, 30180, 33198, 36216, 39234, 42252, 45270, 48288, 51306, 54324, 57342, 60360, 63378, 66396, 69414, 72432, 75450, 78468, 81486, 84504, 87522, 90540, 93558, 96576, 99594

There is a total of 33 numbers (up to 100000) that are divisible by 3018.
The sum of these numbers is 1693098.
The arithmetic mean of these numbers is 51306.

How to find the numbers divisible by 3018?

Finding all the numbers that can be divided by 3018 is essentially the same as searching for the multiples of 3018: if a number N is a multiple of 3018, then 3018 is a divisor of N.

Indeed, if we assume that N is a multiple of 3018, this means there exists an integer k such that:

$k \times 3018 = N$

Conversely, the result of N divided by 3018 is this same integer k (without any remainder):

$k = \frac{N}{3018}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3018 (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 3018 less than 100000):

1 × 3018 = 3018
2 × 3018 = 6036
3 × 3018 = 9054
...
32 × 3018 = 96576
33 × 3018 = 99594