What are the numbers divisible by 994?

994, 1988, 2982, 3976, 4970, 5964, 6958, 7952, 8946, 9940, 10934, 11928, 12922, 13916, 14910, 15904, 16898, 17892, 18886, 19880, 20874, 21868, 22862, 23856, 24850, 25844, 26838, 27832, 28826, 29820, 30814, 31808, 32802, 33796, 34790, 35784, 36778, 37772, 38766, 39760, 40754, 41748, 42742, 43736, 44730, 45724, 46718, 47712, 48706, 49700, 50694, 51688, 52682, 53676, 54670, 55664, 56658, 57652, 58646, 59640, 60634, 61628, 62622, 63616, 64610, 65604, 66598, 67592, 68586, 69580, 70574, 71568, 72562, 73556, 74550, 75544, 76538, 77532, 78526, 79520, 80514, 81508, 82502, 83496, 84490, 85484, 86478, 87472, 88466, 89460, 90454, 91448, 92442, 93436, 94430, 95424, 96418, 97412, 98406, 99400

There is a total of 100 numbers (up to 100000) that are divisible by 994.
The sum of these numbers is 5019700.
The arithmetic mean of these numbers is 50197.

How to find the numbers divisible by 994?

Finding all the numbers that can be divided by 994 is essentially the same as searching for the multiples of 994: if a number N is a multiple of 994, then 994 is a divisor of N.

Indeed, if we assume that N is a multiple of 994, this means there exists an integer k such that:

$k \times 994 = N$

Conversely, the result of N divided by 994 is this same integer k (without any remainder):

$k = \frac{N}{994}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 994 (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 994 less than 100000):

1 × 994 = 994
2 × 994 = 1988
3 × 994 = 2982
...
99 × 994 = 98406
100 × 994 = 99400