What are the numbers divisible by 2055?

2055, 4110, 6165, 8220, 10275, 12330, 14385, 16440, 18495, 20550, 22605, 24660, 26715, 28770, 30825, 32880, 34935, 36990, 39045, 41100, 43155, 45210, 47265, 49320, 51375, 53430, 55485, 57540, 59595, 61650, 63705, 65760, 67815, 69870, 71925, 73980, 76035, 78090, 80145, 82200, 84255, 86310, 88365, 90420, 92475, 94530, 96585, 98640

There is a total of 48 numbers (up to 100000) that are divisible by 2055.
The sum of these numbers is 2416680.
The arithmetic mean of these numbers is 50347.5.

How to find the numbers divisible by 2055?

Finding all the numbers that can be divided by 2055 is essentially the same as searching for the multiples of 2055: if a number N is a multiple of 2055, then 2055 is a divisor of N.

Indeed, if we assume that N is a multiple of 2055, this means there exists an integer k such that:

$k \times 2055 = N$

Conversely, the result of N divided by 2055 is this same integer k (without any remainder):

$k = \frac{N}{2055}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2055 (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 2055 less than 100000):

1 × 2055 = 2055
2 × 2055 = 4110
3 × 2055 = 6165
...
47 × 2055 = 96585
48 × 2055 = 98640