What are the numbers divisible by 3023?

3023, 6046, 9069, 12092, 15115, 18138, 21161, 24184, 27207, 30230, 33253, 36276, 39299, 42322, 45345, 48368, 51391, 54414, 57437, 60460, 63483, 66506, 69529, 72552, 75575, 78598, 81621, 84644, 87667, 90690, 93713, 96736, 99759

There is a total of 33 numbers (up to 100000) that are divisible by 3023.
The sum of these numbers is 1695903.
The arithmetic mean of these numbers is 51391.

How to find the numbers divisible by 3023?

Finding all the numbers that can be divided by 3023 is essentially the same as searching for the multiples of 3023: if a number N is a multiple of 3023, then 3023 is a divisor of N.

Indeed, if we assume that N is a multiple of 3023, this means there exists an integer k such that:

$k \times 3023 = N$

Conversely, the result of N divided by 3023 is this same integer k (without any remainder):

$k = \frac{N}{3023}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3023 (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 3023 less than 100000):

1 × 3023 = 3023
2 × 3023 = 6046
3 × 3023 = 9069
...
32 × 3023 = 96736
33 × 3023 = 99759