What are the numbers divisible by 3072?

3072, 6144, 9216, 12288, 15360, 18432, 21504, 24576, 27648, 30720, 33792, 36864, 39936, 43008, 46080, 49152, 52224, 55296, 58368, 61440, 64512, 67584, 70656, 73728, 76800, 79872, 82944, 86016, 89088, 92160, 95232, 98304

There is a total of 32 numbers (up to 100000) that are divisible by 3072.
The sum of these numbers is 1622016.
The arithmetic mean of these numbers is 50688.

How to find the numbers divisible by 3072?

Finding all the numbers that can be divided by 3072 is essentially the same as searching for the multiples of 3072: if a number N is a multiple of 3072, then 3072 is a divisor of N.

Indeed, if we assume that N is a multiple of 3072, this means there exists an integer k such that:

$k \times 3072 = N$

Conversely, the result of N divided by 3072 is this same integer k (without any remainder):

$k = \frac{N}{3072}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 3072 (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 3072 less than 100000):

1 × 3072 = 3072
2 × 3072 = 6144
3 × 3072 = 9216
...
31 × 3072 = 95232
32 × 3072 = 98304