What are the numbers divisible by 3027?

3027, 6054, 9081, 12108, 15135, 18162, 21189, 24216, 27243, 30270, 33297, 36324, 39351, 42378, 45405, 48432, 51459, 54486, 57513, 60540, 63567, 66594, 69621, 72648, 75675, 78702, 81729, 84756, 87783, 90810, 93837, 96864, 99891

There is a total of 33 numbers (up to 100000) that are divisible by 3027.
The sum of these numbers is 1698147.
The arithmetic mean of these numbers is 51459.

How to find the numbers divisible by 3027?

Finding all the numbers that can be divided by 3027 is essentially the same as searching for the multiples of 3027: if a number N is a multiple of 3027, then 3027 is a divisor of N.

Indeed, if we assume that N is a multiple of 3027, this means there exists an integer k such that:

$k \times 3027 = N$

Conversely, the result of N divided by 3027 is this same integer k (without any remainder):

$k = \frac{N}{3027}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3027 (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 3027 less than 100000):

1 × 3027 = 3027
2 × 3027 = 6054
3 × 3027 = 9081
...
32 × 3027 = 96864
33 × 3027 = 99891