What are the numbers divisible by 2096?

2096, 4192, 6288, 8384, 10480, 12576, 14672, 16768, 18864, 20960, 23056, 25152, 27248, 29344, 31440, 33536, 35632, 37728, 39824, 41920, 44016, 46112, 48208, 50304, 52400, 54496, 56592, 58688, 60784, 62880, 64976, 67072, 69168, 71264, 73360, 75456, 77552, 79648, 81744, 83840, 85936, 88032, 90128, 92224, 94320, 96416, 98512

There is a total of 47 numbers (up to 100000) that are divisible by 2096.
The sum of these numbers is 2364288.
The arithmetic mean of these numbers is 50304.

How to find the numbers divisible by 2096?

Finding all the numbers that can be divided by 2096 is essentially the same as searching for the multiples of 2096: if a number N is a multiple of 2096, then 2096 is a divisor of N.

Indeed, if we assume that N is a multiple of 2096, this means there exists an integer k such that:

$k \times 2096 = N$

Conversely, the result of N divided by 2096 is this same integer k (without any remainder):

$k = \frac{N}{2096}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2096 (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 2096 less than 100000):

1 × 2096 = 2096
2 × 2096 = 4192
3 × 2096 = 6288
...
46 × 2096 = 96416
47 × 2096 = 98512