What are the numbers divisible by 3036?

3036, 6072, 9108, 12144, 15180, 18216, 21252, 24288, 27324, 30360, 33396, 36432, 39468, 42504, 45540, 48576, 51612, 54648, 57684, 60720, 63756, 66792, 69828, 72864, 75900, 78936, 81972, 85008, 88044, 91080, 94116, 97152

There is a total of 32 numbers (up to 100000) that are divisible by 3036.
The sum of these numbers is 1603008.
The arithmetic mean of these numbers is 50094.

How to find the numbers divisible by 3036?

Finding all the numbers that can be divided by 3036 is essentially the same as searching for the multiples of 3036: if a number N is a multiple of 3036, then 3036 is a divisor of N.

Indeed, if we assume that N is a multiple of 3036, this means there exists an integer k such that:

$k \times 3036 = N$

Conversely, the result of N divided by 3036 is this same integer k (without any remainder):

$k = \frac{N}{3036}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3036 (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 3036 less than 100000):

1 × 3036 = 3036
2 × 3036 = 6072
3 × 3036 = 9108
...
31 × 3036 = 94116
32 × 3036 = 97152