What are the numbers divisible by 8002?

8002, 16004, 24006, 32008, 40010, 48012, 56014, 64016, 72018, 80020, 88022, 96024

There is a total of 12 numbers (up to 100000) that are divisible by 8002.
The sum of these numbers is 624156.
The arithmetic mean of these numbers is 52013.

How to find the numbers divisible by 8002?

Finding all the numbers that can be divided by 8002 is essentially the same as searching for the multiples of 8002: if a number N is a multiple of 8002, then 8002 is a divisor of N.

Indeed, if we assume that N is a multiple of 8002, this means there exists an integer k such that:

$k \times 8002 = N$

Conversely, the result of N divided by 8002 is this same integer k (without any remainder):

$k = \frac{N}{8002}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8002 (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 8002 less than 100000):

1 × 8002 = 8002
2 × 8002 = 16004
3 × 8002 = 24006
...
11 × 8002 = 88022
12 × 8002 = 96024