What are the numbers divisible by 6072?

6072, 12144, 18216, 24288, 30360, 36432, 42504, 48576, 54648, 60720, 66792, 72864, 78936, 85008, 91080, 97152

There is a total of 16 numbers (up to 100000) that are divisible by 6072.
The sum of these numbers is 825792.
The arithmetic mean of these numbers is 51612.

How to find the numbers divisible by 6072?

Finding all the numbers that can be divided by 6072 is essentially the same as searching for the multiples of 6072: if a number N is a multiple of 6072, then 6072 is a divisor of N.

Indeed, if we assume that N is a multiple of 6072, this means there exists an integer k such that:

$k \times 6072 = N$

Conversely, the result of N divided by 6072 is this same integer k (without any remainder):

$k = \frac{N}{6072}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6072 (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 6072 less than 100000):

1 × 6072 = 6072
2 × 6072 = 12144
3 × 6072 = 18216
...
15 × 6072 = 91080
16 × 6072 = 97152