What are the numbers divisible by 2023?

2023, 4046, 6069, 8092, 10115, 12138, 14161, 16184, 18207, 20230, 22253, 24276, 26299, 28322, 30345, 32368, 34391, 36414, 38437, 40460, 42483, 44506, 46529, 48552, 50575, 52598, 54621, 56644, 58667, 60690, 62713, 64736, 66759, 68782, 70805, 72828, 74851, 76874, 78897, 80920, 82943, 84966, 86989, 89012, 91035, 93058, 95081, 97104, 99127

There is a total of 49 numbers (up to 100000) that are divisible by 2023.
The sum of these numbers is 2478175.
The arithmetic mean of these numbers is 50575.

How to find the numbers divisible by 2023?

Finding all the numbers that can be divided by 2023 is essentially the same as searching for the multiples of 2023: if a number N is a multiple of 2023, then 2023 is a divisor of N.

Indeed, if we assume that N is a multiple of 2023, this means there exists an integer k such that:

$k \times 2023 = N$

Conversely, the result of N divided by 2023 is this same integer k (without any remainder):

$k = \frac{N}{2023}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2023 (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 2023 less than 100000):

1 × 2023 = 2023
2 × 2023 = 4046
3 × 2023 = 6069
...
48 × 2023 = 97104
49 × 2023 = 99127