What are the numbers divisible by 8019?

8019, 16038, 24057, 32076, 40095, 48114, 56133, 64152, 72171, 80190, 88209, 96228

There is a total of 12 numbers (up to 100000) that are divisible by 8019.
The sum of these numbers is 625482.
The arithmetic mean of these numbers is 52123.5.

How to find the numbers divisible by 8019?

Finding all the numbers that can be divided by 8019 is essentially the same as searching for the multiples of 8019: if a number N is a multiple of 8019, then 8019 is a divisor of N.

Indeed, if we assume that N is a multiple of 8019, this means there exists an integer k such that:

$k \times 8019 = N$

Conversely, the result of N divided by 8019 is this same integer k (without any remainder):

$k = \frac{N}{8019}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 8019 (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 8019 less than 100000):

1 × 8019 = 8019
2 × 8019 = 16038
3 × 8019 = 24057
...
11 × 8019 = 88209
12 × 8019 = 96228