What are the numbers divisible by 4033?

4033, 8066, 12099, 16132, 20165, 24198, 28231, 32264, 36297, 40330, 44363, 48396, 52429, 56462, 60495, 64528, 68561, 72594, 76627, 80660, 84693, 88726, 92759, 96792

There is a total of 24 numbers (up to 100000) that are divisible by 4033.
The sum of these numbers is 1209900.
The arithmetic mean of these numbers is 50412.5.

How to find the numbers divisible by 4033?

Finding all the numbers that can be divided by 4033 is essentially the same as searching for the multiples of 4033: if a number N is a multiple of 4033, then 4033 is a divisor of N.

Indeed, if we assume that N is a multiple of 4033, this means there exists an integer k such that:

$k \times 4033 = N$

Conversely, the result of N divided by 4033 is this same integer k (without any remainder):

$k = \frac{N}{4033}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4033 (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 4033 less than 100000):

1 × 4033 = 4033
2 × 4033 = 8066
3 × 4033 = 12099
...
23 × 4033 = 92759
24 × 4033 = 96792