What are the numbers divisible by 5008?

5008, 10016, 15024, 20032, 25040, 30048, 35056, 40064, 45072, 50080, 55088, 60096, 65104, 70112, 75120, 80128, 85136, 90144, 95152

There is a total of 19 numbers (up to 100000) that are divisible by 5008.
The sum of these numbers is 951520.
The arithmetic mean of these numbers is 50080.

How to find the numbers divisible by 5008?

Finding all the numbers that can be divided by 5008 is essentially the same as searching for the multiples of 5008: if a number N is a multiple of 5008, then 5008 is a divisor of N.

Indeed, if we assume that N is a multiple of 5008, this means there exists an integer k such that:

$k \times 5008 = N$

Conversely, the result of N divided by 5008 is this same integer k (without any remainder):

$k = \frac{N}{5008}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 5008 (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 5008 less than 100000):

1 × 5008 = 5008
2 × 5008 = 10016
3 × 5008 = 15024
...
18 × 5008 = 90144
19 × 5008 = 95152