What are the numbers divisible by 2072?

2072, 4144, 6216, 8288, 10360, 12432, 14504, 16576, 18648, 20720, 22792, 24864, 26936, 29008, 31080, 33152, 35224, 37296, 39368, 41440, 43512, 45584, 47656, 49728, 51800, 53872, 55944, 58016, 60088, 62160, 64232, 66304, 68376, 70448, 72520, 74592, 76664, 78736, 80808, 82880, 84952, 87024, 89096, 91168, 93240, 95312, 97384, 99456

There is a total of 48 numbers (up to 100000) that are divisible by 2072.
The sum of these numbers is 2436672.
The arithmetic mean of these numbers is 50764.

How to find the numbers divisible by 2072?

Finding all the numbers that can be divided by 2072 is essentially the same as searching for the multiples of 2072: if a number N is a multiple of 2072, then 2072 is a divisor of N.

Indeed, if we assume that N is a multiple of 2072, this means there exists an integer k such that:

$k \times 2072 = N$

Conversely, the result of N divided by 2072 is this same integer k (without any remainder):

$k = \frac{N}{2072}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2072 (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 2072 less than 100000):

1 × 2072 = 2072
2 × 2072 = 4144
3 × 2072 = 6216
...
47 × 2072 = 97384
48 × 2072 = 99456