What are the numbers divisible by 4019?

4019, 8038, 12057, 16076, 20095, 24114, 28133, 32152, 36171, 40190, 44209, 48228, 52247, 56266, 60285, 64304, 68323, 72342, 76361, 80380, 84399, 88418, 92437, 96456

There is a total of 24 numbers (up to 100000) that are divisible by 4019.
The sum of these numbers is 1205700.
The arithmetic mean of these numbers is 50237.5.

How to find the numbers divisible by 4019?

Finding all the numbers that can be divided by 4019 is essentially the same as searching for the multiples of 4019: if a number N is a multiple of 4019, then 4019 is a divisor of N.

Indeed, if we assume that N is a multiple of 4019, this means there exists an integer k such that:

$k \times 4019 = N$

Conversely, the result of N divided by 4019 is this same integer k (without any remainder):

$k = \frac{N}{4019}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4019 (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 4019 less than 100000):

1 × 4019 = 4019
2 × 4019 = 8038
3 × 4019 = 12057
...
23 × 4019 = 92437
24 × 4019 = 96456