What are the numbers divisible by 3038?

3038, 6076, 9114, 12152, 15190, 18228, 21266, 24304, 27342, 30380, 33418, 36456, 39494, 42532, 45570, 48608, 51646, 54684, 57722, 60760, 63798, 66836, 69874, 72912, 75950, 78988, 82026, 85064, 88102, 91140, 94178, 97216

There is a total of 32 numbers (up to 100000) that are divisible by 3038.
The sum of these numbers is 1604064.
The arithmetic mean of these numbers is 50127.

How to find the numbers divisible by 3038?

Finding all the numbers that can be divided by 3038 is essentially the same as searching for the multiples of 3038: if a number N is a multiple of 3038, then 3038 is a divisor of N.

Indeed, if we assume that N is a multiple of 3038, this means there exists an integer k such that:

$k \times 3038 = N$

Conversely, the result of N divided by 3038 is this same integer k (without any remainder):

$k = \frac{N}{3038}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3038 (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 3038 less than 100000):

1 × 3038 = 3038
2 × 3038 = 6076
3 × 3038 = 9114
...
31 × 3038 = 94178
32 × 3038 = 97216