What are the numbers divisible by 984?

984, 1968, 2952, 3936, 4920, 5904, 6888, 7872, 8856, 9840, 10824, 11808, 12792, 13776, 14760, 15744, 16728, 17712, 18696, 19680, 20664, 21648, 22632, 23616, 24600, 25584, 26568, 27552, 28536, 29520, 30504, 31488, 32472, 33456, 34440, 35424, 36408, 37392, 38376, 39360, 40344, 41328, 42312, 43296, 44280, 45264, 46248, 47232, 48216, 49200, 50184, 51168, 52152, 53136, 54120, 55104, 56088, 57072, 58056, 59040, 60024, 61008, 61992, 62976, 63960, 64944, 65928, 66912, 67896, 68880, 69864, 70848, 71832, 72816, 73800, 74784, 75768, 76752, 77736, 78720, 79704, 80688, 81672, 82656, 83640, 84624, 85608, 86592, 87576, 88560, 89544, 90528, 91512, 92496, 93480, 94464, 95448, 96432, 97416, 98400, 99384

There is a total of 101 numbers (up to 100000) that are divisible by 984.
The sum of these numbers is 5068584.
The arithmetic mean of these numbers is 50184.

How to find the numbers divisible by 984?

Finding all the numbers that can be divided by 984 is essentially the same as searching for the multiples of 984: if a number N is a multiple of 984, then 984 is a divisor of N.

Indeed, if we assume that N is a multiple of 984, this means there exists an integer k such that:

$k \times 984 = N$

Conversely, the result of N divided by 984 is this same integer k (without any remainder):

$k = \frac{N}{984}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 984 (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 984 less than 100000):

1 × 984 = 984
2 × 984 = 1968
3 × 984 = 2952
...
100 × 984 = 98400
101 × 984 = 99384