What are the numbers divisible by 3045?

3045, 6090, 9135, 12180, 15225, 18270, 21315, 24360, 27405, 30450, 33495, 36540, 39585, 42630, 45675, 48720, 51765, 54810, 57855, 60900, 63945, 66990, 70035, 73080, 76125, 79170, 82215, 85260, 88305, 91350, 94395, 97440

There is a total of 32 numbers (up to 100000) that are divisible by 3045.
The sum of these numbers is 1607760.
The arithmetic mean of these numbers is 50242.5.

How to find the numbers divisible by 3045?

Finding all the numbers that can be divided by 3045 is essentially the same as searching for the multiples of 3045: if a number N is a multiple of 3045, then 3045 is a divisor of N.

Indeed, if we assume that N is a multiple of 3045, this means there exists an integer k such that:

$k \times 3045 = N$

Conversely, the result of N divided by 3045 is this same integer k (without any remainder):

$k = \frac{N}{3045}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3045 (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 3045 less than 100000):

1 × 3045 = 3045
2 × 3045 = 6090
3 × 3045 = 9135
...
31 × 3045 = 94395
32 × 3045 = 97440