What are the numbers divisible by 766?

766, 1532, 2298, 3064, 3830, 4596, 5362, 6128, 6894, 7660, 8426, 9192, 9958, 10724, 11490, 12256, 13022, 13788, 14554, 15320, 16086, 16852, 17618, 18384, 19150, 19916, 20682, 21448, 22214, 22980, 23746, 24512, 25278, 26044, 26810, 27576, 28342, 29108, 29874, 30640, 31406, 32172, 32938, 33704, 34470, 35236, 36002, 36768, 37534, 38300, 39066, 39832, 40598, 41364, 42130, 42896, 43662, 44428, 45194, 45960, 46726, 47492, 48258, 49024, 49790, 50556, 51322, 52088, 52854, 53620, 54386, 55152, 55918, 56684, 57450, 58216, 58982, 59748, 60514, 61280, 62046, 62812, 63578, 64344, 65110, 65876, 66642, 67408, 68174, 68940, 69706, 70472, 71238, 72004, 72770, 73536, 74302, 75068, 75834, 76600, 77366, 78132, 78898, 79664, 80430, 81196, 81962, 82728, 83494, 84260, 85026, 85792, 86558, 87324, 88090, 88856, 89622, 90388, 91154, 91920, 92686, 93452, 94218, 94984, 95750, 96516, 97282, 98048, 98814, 99580

There is a total of 130 numbers (up to 100000) that are divisible by 766.
The sum of these numbers is 6522490.
The arithmetic mean of these numbers is 50173.

How to find the numbers divisible by 766?

Finding all the numbers that can be divided by 766 is essentially the same as searching for the multiples of 766: if a number N is a multiple of 766, then 766 is a divisor of N.

Indeed, if we assume that N is a multiple of 766, this means there exists an integer k such that:

$k \times 766 = N$

Conversely, the result of N divided by 766 is this same integer k (without any remainder):

$k = \frac{N}{766}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 766 (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 766 less than 100000):

1 × 766 = 766
2 × 766 = 1532
3 × 766 = 2298
...
129 × 766 = 98814
130 × 766 = 99580