What are the numbers divisible by 1036?

1036, 2072, 3108, 4144, 5180, 6216, 7252, 8288, 9324, 10360, 11396, 12432, 13468, 14504, 15540, 16576, 17612, 18648, 19684, 20720, 21756, 22792, 23828, 24864, 25900, 26936, 27972, 29008, 30044, 31080, 32116, 33152, 34188, 35224, 36260, 37296, 38332, 39368, 40404, 41440, 42476, 43512, 44548, 45584, 46620, 47656, 48692, 49728, 50764, 51800, 52836, 53872, 54908, 55944, 56980, 58016, 59052, 60088, 61124, 62160, 63196, 64232, 65268, 66304, 67340, 68376, 69412, 70448, 71484, 72520, 73556, 74592, 75628, 76664, 77700, 78736, 79772, 80808, 81844, 82880, 83916, 84952, 85988, 87024, 88060, 89096, 90132, 91168, 92204, 93240, 94276, 95312, 96348, 97384, 98420, 99456

There is a total of 96 numbers (up to 100000) that are divisible by 1036.
The sum of these numbers is 4823616.
The arithmetic mean of these numbers is 50246.

How to find the numbers divisible by 1036?

Finding all the numbers that can be divided by 1036 is essentially the same as searching for the multiples of 1036: if a number N is a multiple of 1036, then 1036 is a divisor of N.

Indeed, if we assume that N is a multiple of 1036, this means there exists an integer k such that:

$k \times 1036 = N$

Conversely, the result of N divided by 1036 is this same integer k (without any remainder):

$k = \frac{N}{1036}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1036 (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 1036 less than 100000):

1 × 1036 = 1036
2 × 1036 = 2072
3 × 1036 = 3108
...
95 × 1036 = 98420
96 × 1036 = 99456