What are the numbers divisible by 7005?

7005, 14010, 21015, 28020, 35025, 42030, 49035, 56040, 63045, 70050, 77055, 84060, 91065, 98070

There is a total of 14 numbers (up to 100000) that are divisible by 7005.
The sum of these numbers is 735525.
The arithmetic mean of these numbers is 52537.5.

How to find the numbers divisible by 7005?

Finding all the numbers that can be divided by 7005 is essentially the same as searching for the multiples of 7005: if a number N is a multiple of 7005, then 7005 is a divisor of N.

Indeed, if we assume that N is a multiple of 7005, this means there exists an integer k such that:

$k \times 7005 = N$

Conversely, the result of N divided by 7005 is this same integer k (without any remainder):

$k = \frac{N}{7005}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7005 (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 7005 less than 100000):

1 × 7005 = 7005
2 × 7005 = 14010
3 × 7005 = 21015
...
13 × 7005 = 91065
14 × 7005 = 98070