What are the numbers divisible by 2046?

2046, 4092, 6138, 8184, 10230, 12276, 14322, 16368, 18414, 20460, 22506, 24552, 26598, 28644, 30690, 32736, 34782, 36828, 38874, 40920, 42966, 45012, 47058, 49104, 51150, 53196, 55242, 57288, 59334, 61380, 63426, 65472, 67518, 69564, 71610, 73656, 75702, 77748, 79794, 81840, 83886, 85932, 87978, 90024, 92070, 94116, 96162, 98208

There is a total of 48 numbers (up to 100000) that are divisible by 2046.
The sum of these numbers is 2406096.
The arithmetic mean of these numbers is 50127.

How to find the numbers divisible by 2046?

Finding all the numbers that can be divided by 2046 is essentially the same as searching for the multiples of 2046: if a number N is a multiple of 2046, then 2046 is a divisor of N.

Indeed, if we assume that N is a multiple of 2046, this means there exists an integer k such that:

$k \times 2046 = N$

Conversely, the result of N divided by 2046 is this same integer k (without any remainder):

$k = \frac{N}{2046}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2046 (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 2046 less than 100000):

1 × 2046 = 2046
2 × 2046 = 4092
3 × 2046 = 6138
...
47 × 2046 = 96162
48 × 2046 = 98208