What are the numbers divisible by 2076?

2076, 4152, 6228, 8304, 10380, 12456, 14532, 16608, 18684, 20760, 22836, 24912, 26988, 29064, 31140, 33216, 35292, 37368, 39444, 41520, 43596, 45672, 47748, 49824, 51900, 53976, 56052, 58128, 60204, 62280, 64356, 66432, 68508, 70584, 72660, 74736, 76812, 78888, 80964, 83040, 85116, 87192, 89268, 91344, 93420, 95496, 97572, 99648

There is a total of 48 numbers (up to 100000) that are divisible by 2076.
The sum of these numbers is 2441376.
The arithmetic mean of these numbers is 50862.

How to find the numbers divisible by 2076?

Finding all the numbers that can be divided by 2076 is essentially the same as searching for the multiples of 2076: if a number N is a multiple of 2076, then 2076 is a divisor of N.

Indeed, if we assume that N is a multiple of 2076, this means there exists an integer k such that:

$k \times 2076 = N$

Conversely, the result of N divided by 2076 is this same integer k (without any remainder):

$k = \frac{N}{2076}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2076 (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 2076 less than 100000):

1 × 2076 = 2076
2 × 2076 = 4152
3 × 2076 = 6228
...
47 × 2076 = 97572
48 × 2076 = 99648