What are the numbers divisible by 3075?

3075, 6150, 9225, 12300, 15375, 18450, 21525, 24600, 27675, 30750, 33825, 36900, 39975, 43050, 46125, 49200, 52275, 55350, 58425, 61500, 64575, 67650, 70725, 73800, 76875, 79950, 83025, 86100, 89175, 92250, 95325, 98400

There is a total of 32 numbers (up to 100000) that are divisible by 3075.
The sum of these numbers is 1623600.
The arithmetic mean of these numbers is 50737.5.

How to find the numbers divisible by 3075?

Finding all the numbers that can be divided by 3075 is essentially the same as searching for the multiples of 3075: if a number N is a multiple of 3075, then 3075 is a divisor of N.

Indeed, if we assume that N is a multiple of 3075, this means there exists an integer k such that:

$k \times 3075 = N$

Conversely, the result of N divided by 3075 is this same integer k (without any remainder):

$k = \frac{N}{3075}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3075 (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 3075 less than 100000):

1 × 3075 = 3075
2 × 3075 = 6150
3 × 3075 = 9225
...
31 × 3075 = 95325
32 × 3075 = 98400