What are the numbers divisible by 1016?

1016, 2032, 3048, 4064, 5080, 6096, 7112, 8128, 9144, 10160, 11176, 12192, 13208, 14224, 15240, 16256, 17272, 18288, 19304, 20320, 21336, 22352, 23368, 24384, 25400, 26416, 27432, 28448, 29464, 30480, 31496, 32512, 33528, 34544, 35560, 36576, 37592, 38608, 39624, 40640, 41656, 42672, 43688, 44704, 45720, 46736, 47752, 48768, 49784, 50800, 51816, 52832, 53848, 54864, 55880, 56896, 57912, 58928, 59944, 60960, 61976, 62992, 64008, 65024, 66040, 67056, 68072, 69088, 70104, 71120, 72136, 73152, 74168, 75184, 76200, 77216, 78232, 79248, 80264, 81280, 82296, 83312, 84328, 85344, 86360, 87376, 88392, 89408, 90424, 91440, 92456, 93472, 94488, 95504, 96520, 97536, 98552, 99568

There is a total of 98 numbers (up to 100000) that are divisible by 1016.
The sum of these numbers is 4928616.
The arithmetic mean of these numbers is 50292.

How to find the numbers divisible by 1016?

Finding all the numbers that can be divided by 1016 is essentially the same as searching for the multiples of 1016: if a number N is a multiple of 1016, then 1016 is a divisor of N.

Indeed, if we assume that N is a multiple of 1016, this means there exists an integer k such that:

$k \times 1016 = N$

Conversely, the result of N divided by 1016 is this same integer k (without any remainder):

$k = \frac{N}{1016}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1016 (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 1016 less than 100000):

1 × 1016 = 1016
2 × 1016 = 2032
3 × 1016 = 3048
...
97 × 1016 = 98552
98 × 1016 = 99568