What are the numbers divisible by 7007?

7007, 14014, 21021, 28028, 35035, 42042, 49049, 56056, 63063, 70070, 77077, 84084, 91091, 98098

There is a total of 14 numbers (up to 100000) that are divisible by 7007.
The sum of these numbers is 735735.
The arithmetic mean of these numbers is 52552.5.

How to find the numbers divisible by 7007?

Finding all the numbers that can be divided by 7007 is essentially the same as searching for the multiples of 7007: if a number N is a multiple of 7007, then 7007 is a divisor of N.

Indeed, if we assume that N is a multiple of 7007, this means there exists an integer k such that:

$k \times 7007 = N$

Conversely, the result of N divided by 7007 is this same integer k (without any remainder):

$k = \frac{N}{7007}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7007 (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 7007 less than 100000):

1 × 7007 = 7007
2 × 7007 = 14014
3 × 7007 = 21021
...
13 × 7007 = 91091
14 × 7007 = 98098