What are the numbers divisible by 2104?

2104, 4208, 6312, 8416, 10520, 12624, 14728, 16832, 18936, 21040, 23144, 25248, 27352, 29456, 31560, 33664, 35768, 37872, 39976, 42080, 44184, 46288, 48392, 50496, 52600, 54704, 56808, 58912, 61016, 63120, 65224, 67328, 69432, 71536, 73640, 75744, 77848, 79952, 82056, 84160, 86264, 88368, 90472, 92576, 94680, 96784, 98888

There is a total of 47 numbers (up to 100000) that are divisible by 2104.
The sum of these numbers is 2373312.
The arithmetic mean of these numbers is 50496.

How to find the numbers divisible by 2104?

Finding all the numbers that can be divided by 2104 is essentially the same as searching for the multiples of 2104: if a number N is a multiple of 2104, then 2104 is a divisor of N.

Indeed, if we assume that N is a multiple of 2104, this means there exists an integer k such that:

$k \times 2104 = N$

Conversely, the result of N divided by 2104 is this same integer k (without any remainder):

$k = \frac{N}{2104}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2104 (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 2104 less than 100000):

1 × 2104 = 2104
2 × 2104 = 4208
3 × 2104 = 6312
...
46 × 2104 = 96784
47 × 2104 = 98888