What are the numbers divisible by 3008?

3008, 6016, 9024, 12032, 15040, 18048, 21056, 24064, 27072, 30080, 33088, 36096, 39104, 42112, 45120, 48128, 51136, 54144, 57152, 60160, 63168, 66176, 69184, 72192, 75200, 78208, 81216, 84224, 87232, 90240, 93248, 96256, 99264

There is a total of 33 numbers (up to 100000) that are divisible by 3008.
The sum of these numbers is 1687488.
The arithmetic mean of these numbers is 51136.

How to find the numbers divisible by 3008?

Finding all the numbers that can be divided by 3008 is essentially the same as searching for the multiples of 3008: if a number N is a multiple of 3008, then 3008 is a divisor of N.

Indeed, if we assume that N is a multiple of 3008, this means there exists an integer k such that:

$k \times 3008 = N$

Conversely, the result of N divided by 3008 is this same integer k (without any remainder):

$k = \frac{N}{3008}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3008 (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 3008 less than 100000):

1 × 3008 = 3008
2 × 3008 = 6016
3 × 3008 = 9024
...
32 × 3008 = 96256
33 × 3008 = 99264