What are the numbers divisible by 6000?

6000, 12000, 18000, 24000, 30000, 36000, 42000, 48000, 54000, 60000, 66000, 72000, 78000, 84000, 90000, 96000

There is a total of 16 numbers (up to 100000) that are divisible by 6000.
The sum of these numbers is 816000.
The arithmetic mean of these numbers is 51000.

How to find the numbers divisible by 6000?

Finding all the numbers that can be divided by 6000 is essentially the same as searching for the multiples of 6000: if a number N is a multiple of 6000, then 6000 is a divisor of N.

Indeed, if we assume that N is a multiple of 6000, this means there exists an integer k such that:

$k \times 6000 = N$

Conversely, the result of N divided by 6000 is this same integer k (without any remainder):

$k = \frac{N}{6000}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6000 (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 6000 less than 100000):

1 × 6000 = 6000
2 × 6000 = 12000
3 × 6000 = 18000
...
15 × 6000 = 90000
16 × 6000 = 96000