What are the numbers divisible by 6144?

6144, 12288, 18432, 24576, 30720, 36864, 43008, 49152, 55296, 61440, 67584, 73728, 79872, 86016, 92160, 98304

There is a total of 16 numbers (up to 100000) that are divisible by 6144.
The sum of these numbers is 835584.
The arithmetic mean of these numbers is 52224.

How to find the numbers divisible by 6144?

Finding all the numbers that can be divided by 6144 is essentially the same as searching for the multiples of 6144: if a number N is a multiple of 6144, then 6144 is a divisor of N.

Indeed, if we assume that N is a multiple of 6144, this means there exists an integer k such that:

$k \times 6144 = N$

Conversely, the result of N divided by 6144 is this same integer k (without any remainder):

$k = \frac{N}{6144}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6144 (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 6144 less than 100000):

1 × 6144 = 6144
2 × 6144 = 12288
3 × 6144 = 18432
...
15 × 6144 = 92160
16 × 6144 = 98304