What are the numbers divisible by 3005?

3005, 6010, 9015, 12020, 15025, 18030, 21035, 24040, 27045, 30050, 33055, 36060, 39065, 42070, 45075, 48080, 51085, 54090, 57095, 60100, 63105, 66110, 69115, 72120, 75125, 78130, 81135, 84140, 87145, 90150, 93155, 96160, 99165

There is a total of 33 numbers (up to 100000) that are divisible by 3005.
The sum of these numbers is 1685805.
The arithmetic mean of these numbers is 51085.

How to find the numbers divisible by 3005?

Finding all the numbers that can be divided by 3005 is essentially the same as searching for the multiples of 3005: if a number N is a multiple of 3005, then 3005 is a divisor of N.

Indeed, if we assume that N is a multiple of 3005, this means there exists an integer k such that:

$k \times 3005 = N$

Conversely, the result of N divided by 3005 is this same integer k (without any remainder):

$k = \frac{N}{3005}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3005 (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 3005 less than 100000):

1 × 3005 = 3005
2 × 3005 = 6010
3 × 3005 = 9015
...
32 × 3005 = 96160
33 × 3005 = 99165