What are the numbers divisible by 876?

876, 1752, 2628, 3504, 4380, 5256, 6132, 7008, 7884, 8760, 9636, 10512, 11388, 12264, 13140, 14016, 14892, 15768, 16644, 17520, 18396, 19272, 20148, 21024, 21900, 22776, 23652, 24528, 25404, 26280, 27156, 28032, 28908, 29784, 30660, 31536, 32412, 33288, 34164, 35040, 35916, 36792, 37668, 38544, 39420, 40296, 41172, 42048, 42924, 43800, 44676, 45552, 46428, 47304, 48180, 49056, 49932, 50808, 51684, 52560, 53436, 54312, 55188, 56064, 56940, 57816, 58692, 59568, 60444, 61320, 62196, 63072, 63948, 64824, 65700, 66576, 67452, 68328, 69204, 70080, 70956, 71832, 72708, 73584, 74460, 75336, 76212, 77088, 77964, 78840, 79716, 80592, 81468, 82344, 83220, 84096, 84972, 85848, 86724, 87600, 88476, 89352, 90228, 91104, 91980, 92856, 93732, 94608, 95484, 96360, 97236, 98112, 98988, 99864

There is a total of 114 numbers (up to 100000) that are divisible by 876.
The sum of these numbers is 5742180.
The arithmetic mean of these numbers is 50370.

How to find the numbers divisible by 876?

Finding all the numbers that can be divided by 876 is essentially the same as searching for the multiples of 876: if a number N is a multiple of 876, then 876 is a divisor of N.

Indeed, if we assume that N is a multiple of 876, this means there exists an integer k such that:

$k \times 876 = N$

Conversely, the result of N divided by 876 is this same integer k (without any remainder):

$k = \frac{N}{876}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 876 (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 876 less than 100000):

1 × 876 = 876
2 × 876 = 1752
3 × 876 = 2628
...
113 × 876 = 98988
114 × 876 = 99864