What are the numbers divisible by 2081?

2081, 4162, 6243, 8324, 10405, 12486, 14567, 16648, 18729, 20810, 22891, 24972, 27053, 29134, 31215, 33296, 35377, 37458, 39539, 41620, 43701, 45782, 47863, 49944, 52025, 54106, 56187, 58268, 60349, 62430, 64511, 66592, 68673, 70754, 72835, 74916, 76997, 79078, 81159, 83240, 85321, 87402, 89483, 91564, 93645, 95726, 97807, 99888

There is a total of 48 numbers (up to 100000) that are divisible by 2081.
The sum of these numbers is 2447256.
The arithmetic mean of these numbers is 50984.5.

How to find the numbers divisible by 2081?

Finding all the numbers that can be divided by 2081 is essentially the same as searching for the multiples of 2081: if a number N is a multiple of 2081, then 2081 is a divisor of N.

Indeed, if we assume that N is a multiple of 2081, this means there exists an integer k such that:

$k \times 2081 = N$

Conversely, the result of N divided by 2081 is this same integer k (without any remainder):

$k = \frac{N}{2081}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2081 (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 2081 less than 100000):

1 × 2081 = 2081
2 × 2081 = 4162
3 × 2081 = 6243
...
47 × 2081 = 97807
48 × 2081 = 99888