What are the numbers divisible by 8006?

8006, 16012, 24018, 32024, 40030, 48036, 56042, 64048, 72054, 80060, 88066, 96072

There is a total of 12 numbers (up to 100000) that are divisible by 8006.
The sum of these numbers is 624468.
The arithmetic mean of these numbers is 52039.

How to find the numbers divisible by 8006?

Finding all the numbers that can be divided by 8006 is essentially the same as searching for the multiples of 8006: if a number N is a multiple of 8006, then 8006 is a divisor of N.

Indeed, if we assume that N is a multiple of 8006, this means there exists an integer k such that:

$k \times 8006 = N$

Conversely, the result of N divided by 8006 is this same integer k (without any remainder):

$k = \frac{N}{8006}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8006 (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 8006 less than 100000):

1 × 8006 = 8006
2 × 8006 = 16012
3 × 8006 = 24018
...
11 × 8006 = 88066
12 × 8006 = 96072