What are the numbers divisible by 3004?

3004, 6008, 9012, 12016, 15020, 18024, 21028, 24032, 27036, 30040, 33044, 36048, 39052, 42056, 45060, 48064, 51068, 54072, 57076, 60080, 63084, 66088, 69092, 72096, 75100, 78104, 81108, 84112, 87116, 90120, 93124, 96128, 99132

There is a total of 33 numbers (up to 100000) that are divisible by 3004.
The sum of these numbers is 1685244.
The arithmetic mean of these numbers is 51068.

How to find the numbers divisible by 3004?

Finding all the numbers that can be divided by 3004 is essentially the same as searching for the multiples of 3004: if a number N is a multiple of 3004, then 3004 is a divisor of N.

Indeed, if we assume that N is a multiple of 3004, this means there exists an integer k such that:

$k \times 3004 = N$

Conversely, the result of N divided by 3004 is this same integer k (without any remainder):

$k = \frac{N}{3004}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3004 (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 3004 less than 100000):

1 × 3004 = 3004
2 × 3004 = 6008
3 × 3004 = 9012
...
32 × 3004 = 96128
33 × 3004 = 99132