What are the numbers divisible by 8013?

8013, 16026, 24039, 32052, 40065, 48078, 56091, 64104, 72117, 80130, 88143, 96156

There is a total of 12 numbers (up to 100000) that are divisible by 8013.
The sum of these numbers is 625014.
The arithmetic mean of these numbers is 52084.5.

How to find the numbers divisible by 8013?

Finding all the numbers that can be divided by 8013 is essentially the same as searching for the multiples of 8013: if a number N is a multiple of 8013, then 8013 is a divisor of N.

Indeed, if we assume that N is a multiple of 8013, this means there exists an integer k such that:

$k \times 8013 = N$

Conversely, the result of N divided by 8013 is this same integer k (without any remainder):

$k = \frac{N}{8013}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8013 (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 8013 less than 100000):

1 × 8013 = 8013
2 × 8013 = 16026
3 × 8013 = 24039
...
11 × 8013 = 88143
12 × 8013 = 96156