What are the numbers divisible by 4000?

4000, 8000, 12000, 16000, 20000, 24000, 28000, 32000, 36000, 40000, 44000, 48000, 52000, 56000, 60000, 64000, 68000, 72000, 76000, 80000, 84000, 88000, 92000, 96000, 100000

There is a total of 25 numbers (up to 100000) that are divisible by 4000.
The sum of these numbers is 1300000.
The arithmetic mean of these numbers is 52000.

How to find the numbers divisible by 4000?

Finding all the numbers that can be divided by 4000 is essentially the same as searching for the multiples of 4000: if a number N is a multiple of 4000, then 4000 is a divisor of N.

Indeed, if we assume that N is a multiple of 4000, this means there exists an integer k such that:

$k \times 4000 = N$

Conversely, the result of N divided by 4000 is this same integer k (without any remainder):

$k = \frac{N}{4000}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4000 (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 4000 less than 100000):

1 × 4000 = 4000
2 × 4000 = 8000
3 × 4000 = 12000
...
24 × 4000 = 96000
25 × 4000 = 100000