What are the numbers divisible by 4055?

4055, 8110, 12165, 16220, 20275, 24330, 28385, 32440, 36495, 40550, 44605, 48660, 52715, 56770, 60825, 64880, 68935, 72990, 77045, 81100, 85155, 89210, 93265, 97320

There is a total of 24 numbers (up to 100000) that are divisible by 4055.
The sum of these numbers is 1216500.
The arithmetic mean of these numbers is 50687.5.

How to find the numbers divisible by 4055?

Finding all the numbers that can be divided by 4055 is essentially the same as searching for the multiples of 4055: if a number N is a multiple of 4055, then 4055 is a divisor of N.

Indeed, if we assume that N is a multiple of 4055, this means there exists an integer k such that:

$k \times 4055 = N$

Conversely, the result of N divided by 4055 is this same integer k (without any remainder):

$k = \frac{N}{4055}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4055 (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 4055 less than 100000):

1 × 4055 = 4055
2 × 4055 = 8110
3 × 4055 = 12165
...
23 × 4055 = 93265
24 × 4055 = 97320