What are the numbers divisible by 7004?

7004, 14008, 21012, 28016, 35020, 42024, 49028, 56032, 63036, 70040, 77044, 84048, 91052, 98056

There is a total of 14 numbers (up to 100000) that are divisible by 7004.
The sum of these numbers is 735420.
The arithmetic mean of these numbers is 52530.

How to find the numbers divisible by 7004?

Finding all the numbers that can be divided by 7004 is essentially the same as searching for the multiples of 7004: if a number N is a multiple of 7004, then 7004 is a divisor of N.

Indeed, if we assume that N is a multiple of 7004, this means there exists an integer k such that:

$k \times 7004 = N$

Conversely, the result of N divided by 7004 is this same integer k (without any remainder):

$k = \frac{N}{7004}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7004 (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 7004 less than 100000):

1 × 7004 = 7004
2 × 7004 = 14008
3 × 7004 = 21012
...
13 × 7004 = 91052
14 × 7004 = 98056