What are the numbers divisible by 8008?

8008, 16016, 24024, 32032, 40040, 48048, 56056, 64064, 72072, 80080, 88088, 96096

There is a total of 12 numbers (up to 100000) that are divisible by 8008.
The sum of these numbers is 624624.
The arithmetic mean of these numbers is 52052.

How to find the numbers divisible by 8008?

Finding all the numbers that can be divided by 8008 is essentially the same as searching for the multiples of 8008: if a number N is a multiple of 8008, then 8008 is a divisor of N.

Indeed, if we assume that N is a multiple of 8008, this means there exists an integer k such that:

$k \times 8008 = N$

Conversely, the result of N divided by 8008 is this same integer k (without any remainder):

$k = \frac{N}{8008}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8008 (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 8008 less than 100000):

1 × 8008 = 8008
2 × 8008 = 16016
3 × 8008 = 24024
...
11 × 8008 = 88088
12 × 8008 = 96096