What are the numbers divisible by 6007?

6007, 12014, 18021, 24028, 30035, 36042, 42049, 48056, 54063, 60070, 66077, 72084, 78091, 84098, 90105, 96112

There is a total of 16 numbers (up to 100000) that are divisible by 6007.
The sum of these numbers is 816952.
The arithmetic mean of these numbers is 51059.5.

How to find the numbers divisible by 6007?

Finding all the numbers that can be divided by 6007 is essentially the same as searching for the multiples of 6007: if a number N is a multiple of 6007, then 6007 is a divisor of N.

Indeed, if we assume that N is a multiple of 6007, this means there exists an integer k such that:

$k \times 6007 = N$

Conversely, the result of N divided by 6007 is this same integer k (without any remainder):

$k = \frac{N}{6007}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6007 (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 6007 less than 100000):

1 × 6007 = 6007
2 × 6007 = 12014
3 × 6007 = 18021
...
15 × 6007 = 90105
16 × 6007 = 96112