What are the numbers divisible by 872?

872, 1744, 2616, 3488, 4360, 5232, 6104, 6976, 7848, 8720, 9592, 10464, 11336, 12208, 13080, 13952, 14824, 15696, 16568, 17440, 18312, 19184, 20056, 20928, 21800, 22672, 23544, 24416, 25288, 26160, 27032, 27904, 28776, 29648, 30520, 31392, 32264, 33136, 34008, 34880, 35752, 36624, 37496, 38368, 39240, 40112, 40984, 41856, 42728, 43600, 44472, 45344, 46216, 47088, 47960, 48832, 49704, 50576, 51448, 52320, 53192, 54064, 54936, 55808, 56680, 57552, 58424, 59296, 60168, 61040, 61912, 62784, 63656, 64528, 65400, 66272, 67144, 68016, 68888, 69760, 70632, 71504, 72376, 73248, 74120, 74992, 75864, 76736, 77608, 78480, 79352, 80224, 81096, 81968, 82840, 83712, 84584, 85456, 86328, 87200, 88072, 88944, 89816, 90688, 91560, 92432, 93304, 94176, 95048, 95920, 96792, 97664, 98536, 99408

There is a total of 114 numbers (up to 100000) that are divisible by 872.
The sum of these numbers is 5715960.
The arithmetic mean of these numbers is 50140.

How to find the numbers divisible by 872?

Finding all the numbers that can be divided by 872 is essentially the same as searching for the multiples of 872: if a number N is a multiple of 872, then 872 is a divisor of N.

Indeed, if we assume that N is a multiple of 872, this means there exists an integer k such that:

$k \times 872 = N$

Conversely, the result of N divided by 872 is this same integer k (without any remainder):

$k = \frac{N}{872}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 872 (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 872 less than 100000):

1 × 872 = 872
2 × 872 = 1744
3 × 872 = 2616
...
113 × 872 = 98536
114 × 872 = 99408