What are the numbers divisible by 3015?

3015, 6030, 9045, 12060, 15075, 18090, 21105, 24120, 27135, 30150, 33165, 36180, 39195, 42210, 45225, 48240, 51255, 54270, 57285, 60300, 63315, 66330, 69345, 72360, 75375, 78390, 81405, 84420, 87435, 90450, 93465, 96480, 99495

There is a total of 33 numbers (up to 100000) that are divisible by 3015.
The sum of these numbers is 1691415.
The arithmetic mean of these numbers is 51255.

How to find the numbers divisible by 3015?

Finding all the numbers that can be divided by 3015 is essentially the same as searching for the multiples of 3015: if a number N is a multiple of 3015, then 3015 is a divisor of N.

Indeed, if we assume that N is a multiple of 3015, this means there exists an integer k such that:

$k \times 3015 = N$

Conversely, the result of N divided by 3015 is this same integer k (without any remainder):

$k = \frac{N}{3015}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3015 (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 3015 less than 100000):

1 × 3015 = 3015
2 × 3015 = 6030
3 × 3015 = 9045
...
32 × 3015 = 96480
33 × 3015 = 99495