What are the numbers divisible by 8004?

8004, 16008, 24012, 32016, 40020, 48024, 56028, 64032, 72036, 80040, 88044, 96048

There is a total of 12 numbers (up to 100000) that are divisible by 8004.
The sum of these numbers is 624312.
The arithmetic mean of these numbers is 52026.

How to find the numbers divisible by 8004?

Finding all the numbers that can be divided by 8004 is essentially the same as searching for the multiples of 8004: if a number N is a multiple of 8004, then 8004 is a divisor of N.

Indeed, if we assume that N is a multiple of 8004, this means there exists an integer k such that:

$k \times 8004 = N$

Conversely, the result of N divided by 8004 is this same integer k (without any remainder):

$k = \frac{N}{8004}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8004 (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 8004 less than 100000):

1 × 8004 = 8004
2 × 8004 = 16008
3 × 8004 = 24012
...
11 × 8004 = 88044
12 × 8004 = 96048