What are the numbers divisible by 8005?

8005, 16010, 24015, 32020, 40025, 48030, 56035, 64040, 72045, 80050, 88055, 96060

There is a total of 12 numbers (up to 100000) that are divisible by 8005.
The sum of these numbers is 624390.
The arithmetic mean of these numbers is 52032.5.

How to find the numbers divisible by 8005?

Finding all the numbers that can be divided by 8005 is essentially the same as searching for the multiples of 8005: if a number N is a multiple of 8005, then 8005 is a divisor of N.

Indeed, if we assume that N is a multiple of 8005, this means there exists an integer k such that:

$k \times 8005 = N$

Conversely, the result of N divided by 8005 is this same integer k (without any remainder):

$k = \frac{N}{8005}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8005 (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 8005 less than 100000):

1 × 8005 = 8005
2 × 8005 = 16010
3 × 8005 = 24015
...
11 × 8005 = 88055
12 × 8005 = 96060