What are the numbers divisible by 996?

996, 1992, 2988, 3984, 4980, 5976, 6972, 7968, 8964, 9960, 10956, 11952, 12948, 13944, 14940, 15936, 16932, 17928, 18924, 19920, 20916, 21912, 22908, 23904, 24900, 25896, 26892, 27888, 28884, 29880, 30876, 31872, 32868, 33864, 34860, 35856, 36852, 37848, 38844, 39840, 40836, 41832, 42828, 43824, 44820, 45816, 46812, 47808, 48804, 49800, 50796, 51792, 52788, 53784, 54780, 55776, 56772, 57768, 58764, 59760, 60756, 61752, 62748, 63744, 64740, 65736, 66732, 67728, 68724, 69720, 70716, 71712, 72708, 73704, 74700, 75696, 76692, 77688, 78684, 79680, 80676, 81672, 82668, 83664, 84660, 85656, 86652, 87648, 88644, 89640, 90636, 91632, 92628, 93624, 94620, 95616, 96612, 97608, 98604, 99600

There is a total of 100 numbers (up to 100000) that are divisible by 996.
The sum of these numbers is 5029800.
The arithmetic mean of these numbers is 50298.

How to find the numbers divisible by 996?

Finding all the numbers that can be divided by 996 is essentially the same as searching for the multiples of 996: if a number N is a multiple of 996, then 996 is a divisor of N.

Indeed, if we assume that N is a multiple of 996, this means there exists an integer k such that:

$k \times 996 = N$

Conversely, the result of N divided by 996 is this same integer k (without any remainder):

$k = \frac{N}{996}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 996 (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 996 less than 100000):

1 × 996 = 996
2 × 996 = 1992
3 × 996 = 2988
...
99 × 996 = 98604
100 × 996 = 99600