What are the numbers divisible by 4035?

4035, 8070, 12105, 16140, 20175, 24210, 28245, 32280, 36315, 40350, 44385, 48420, 52455, 56490, 60525, 64560, 68595, 72630, 76665, 80700, 84735, 88770, 92805, 96840

There is a total of 24 numbers (up to 100000) that are divisible by 4035.
The sum of these numbers is 1210500.
The arithmetic mean of these numbers is 50437.5.

How to find the numbers divisible by 4035?

Finding all the numbers that can be divided by 4035 is essentially the same as searching for the multiples of 4035: if a number N is a multiple of 4035, then 4035 is a divisor of N.

Indeed, if we assume that N is a multiple of 4035, this means there exists an integer k such that:

$k \times 4035 = N$

Conversely, the result of N divided by 4035 is this same integer k (without any remainder):

$k = \frac{N}{4035}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4035 (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 4035 less than 100000):

1 × 4035 = 4035
2 × 4035 = 8070
3 × 4035 = 12105
...
23 × 4035 = 92805
24 × 4035 = 96840