What are the numbers divisible by 6006?

6006, 12012, 18018, 24024, 30030, 36036, 42042, 48048, 54054, 60060, 66066, 72072, 78078, 84084, 90090, 96096

There is a total of 16 numbers (up to 100000) that are divisible by 6006.
The sum of these numbers is 816816.
The arithmetic mean of these numbers is 51051.

How to find the numbers divisible by 6006?

Finding all the numbers that can be divided by 6006 is essentially the same as searching for the multiples of 6006: if a number N is a multiple of 6006, then 6006 is a divisor of N.

Indeed, if we assume that N is a multiple of 6006, this means there exists an integer k such that:

$k \times 6006 = N$

Conversely, the result of N divided by 6006 is this same integer k (without any remainder):

$k = \frac{N}{6006}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6006 (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 6006 less than 100000):

1 × 6006 = 6006
2 × 6006 = 12012
3 × 6006 = 18018
...
15 × 6006 = 90090
16 × 6006 = 96096