What are the numbers divisible by 8007?

8007, 16014, 24021, 32028, 40035, 48042, 56049, 64056, 72063, 80070, 88077, 96084

There is a total of 12 numbers (up to 100000) that are divisible by 8007.
The sum of these numbers is 624546.
The arithmetic mean of these numbers is 52045.5.

How to find the numbers divisible by 8007?

Finding all the numbers that can be divided by 8007 is essentially the same as searching for the multiples of 8007: if a number N is a multiple of 8007, then 8007 is a divisor of N.

Indeed, if we assume that N is a multiple of 8007, this means there exists an integer k such that:

$k \times 8007 = N$

Conversely, the result of N divided by 8007 is this same integer k (without any remainder):

$k = \frac{N}{8007}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8007 (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 8007 less than 100000):

1 × 8007 = 8007
2 × 8007 = 16014
3 × 8007 = 24021
...
11 × 8007 = 88077
12 × 8007 = 96084