What are the numbers divisible by 6045?

6045, 12090, 18135, 24180, 30225, 36270, 42315, 48360, 54405, 60450, 66495, 72540, 78585, 84630, 90675, 96720

There is a total of 16 numbers (up to 100000) that are divisible by 6045.
The sum of these numbers is 822120.
The arithmetic mean of these numbers is 51382.5.

How to find the numbers divisible by 6045?

Finding all the numbers that can be divided by 6045 is essentially the same as searching for the multiples of 6045: if a number N is a multiple of 6045, then 6045 is a divisor of N.

Indeed, if we assume that N is a multiple of 6045, this means there exists an integer k such that:

$k \times 6045 = N$

Conversely, the result of N divided by 6045 is this same integer k (without any remainder):

$k = \frac{N}{6045}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6045 (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 6045 less than 100000):

1 × 6045 = 6045
2 × 6045 = 12090
3 × 6045 = 18135
...
15 × 6045 = 90675
16 × 6045 = 96720