What are the numbers divisible by 8003?

8003, 16006, 24009, 32012, 40015, 48018, 56021, 64024, 72027, 80030, 88033, 96036

There is a total of 12 numbers (up to 100000) that are divisible by 8003.
The sum of these numbers is 624234.
The arithmetic mean of these numbers is 52019.5.

How to find the numbers divisible by 8003?

Finding all the numbers that can be divided by 8003 is essentially the same as searching for the multiples of 8003: if a number N is a multiple of 8003, then 8003 is a divisor of N.

Indeed, if we assume that N is a multiple of 8003, this means there exists an integer k such that:

$k \times 8003 = N$

Conversely, the result of N divided by 8003 is this same integer k (without any remainder):

$k = \frac{N}{8003}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8003 (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 8003 less than 100000):

1 × 8003 = 8003
2 × 8003 = 16006
3 × 8003 = 24009
...
11 × 8003 = 88033
12 × 8003 = 96036