What are the numbers divisible by 4023?

4023, 8046, 12069, 16092, 20115, 24138, 28161, 32184, 36207, 40230, 44253, 48276, 52299, 56322, 60345, 64368, 68391, 72414, 76437, 80460, 84483, 88506, 92529, 96552

There is a total of 24 numbers (up to 100000) that are divisible by 4023.
The sum of these numbers is 1206900.
The arithmetic mean of these numbers is 50287.5.

How to find the numbers divisible by 4023?

Finding all the numbers that can be divided by 4023 is essentially the same as searching for the multiples of 4023: if a number N is a multiple of 4023, then 4023 is a divisor of N.

Indeed, if we assume that N is a multiple of 4023, this means there exists an integer k such that:

$k \times 4023 = N$

Conversely, the result of N divided by 4023 is this same integer k (without any remainder):

$k = \frac{N}{4023}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4023 (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 4023 less than 100000):

1 × 4023 = 4023
2 × 4023 = 8046
3 × 4023 = 12069
...
23 × 4023 = 92529
24 × 4023 = 96552