What are the numbers divisible by 2036?

2036, 4072, 6108, 8144, 10180, 12216, 14252, 16288, 18324, 20360, 22396, 24432, 26468, 28504, 30540, 32576, 34612, 36648, 38684, 40720, 42756, 44792, 46828, 48864, 50900, 52936, 54972, 57008, 59044, 61080, 63116, 65152, 67188, 69224, 71260, 73296, 75332, 77368, 79404, 81440, 83476, 85512, 87548, 89584, 91620, 93656, 95692, 97728, 99764

There is a total of 49 numbers (up to 100000) that are divisible by 2036.
The sum of these numbers is 2494100.
The arithmetic mean of these numbers is 50900.

How to find the numbers divisible by 2036?

Finding all the numbers that can be divided by 2036 is essentially the same as searching for the multiples of 2036: if a number N is a multiple of 2036, then 2036 is a divisor of N.

Indeed, if we assume that N is a multiple of 2036, this means there exists an integer k such that:

$k \times 2036 = N$

Conversely, the result of N divided by 2036 is this same integer k (without any remainder):

$k = \frac{N}{2036}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2036 (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 2036 less than 100000):

1 × 2036 = 2036
2 × 2036 = 4072
3 × 2036 = 6108
...
48 × 2036 = 97728
49 × 2036 = 99764