What are the numbers divisible by 3035?

3035, 6070, 9105, 12140, 15175, 18210, 21245, 24280, 27315, 30350, 33385, 36420, 39455, 42490, 45525, 48560, 51595, 54630, 57665, 60700, 63735, 66770, 69805, 72840, 75875, 78910, 81945, 84980, 88015, 91050, 94085, 97120

There is a total of 32 numbers (up to 100000) that are divisible by 3035.
The sum of these numbers is 1602480.
The arithmetic mean of these numbers is 50077.5.

How to find the numbers divisible by 3035?

Finding all the numbers that can be divided by 3035 is essentially the same as searching for the multiples of 3035: if a number N is a multiple of 3035, then 3035 is a divisor of N.

Indeed, if we assume that N is a multiple of 3035, this means there exists an integer k such that:

$k \times 3035 = N$

Conversely, the result of N divided by 3035 is this same integer k (without any remainder):

$k = \frac{N}{3035}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3035 (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 3035 less than 100000):

1 × 3035 = 3035
2 × 3035 = 6070
3 × 3035 = 9105
...
31 × 3035 = 94085
32 × 3035 = 97120