What are the numbers divisible by 3039?

3039, 6078, 9117, 12156, 15195, 18234, 21273, 24312, 27351, 30390, 33429, 36468, 39507, 42546, 45585, 48624, 51663, 54702, 57741, 60780, 63819, 66858, 69897, 72936, 75975, 79014, 82053, 85092, 88131, 91170, 94209, 97248

There is a total of 32 numbers (up to 100000) that are divisible by 3039.
The sum of these numbers is 1604592.
The arithmetic mean of these numbers is 50143.5.

How to find the numbers divisible by 3039?

Finding all the numbers that can be divided by 3039 is essentially the same as searching for the multiples of 3039: if a number N is a multiple of 3039, then 3039 is a divisor of N.

Indeed, if we assume that N is a multiple of 3039, this means there exists an integer k such that:

$k \times 3039 = N$

Conversely, the result of N divided by 3039 is this same integer k (without any remainder):

$k = \frac{N}{3039}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3039 (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 3039 less than 100000):

1 × 3039 = 3039
2 × 3039 = 6078
3 × 3039 = 9117
...
31 × 3039 = 94209
32 × 3039 = 97248