What are the numbers divisible by 966?

966, 1932, 2898, 3864, 4830, 5796, 6762, 7728, 8694, 9660, 10626, 11592, 12558, 13524, 14490, 15456, 16422, 17388, 18354, 19320, 20286, 21252, 22218, 23184, 24150, 25116, 26082, 27048, 28014, 28980, 29946, 30912, 31878, 32844, 33810, 34776, 35742, 36708, 37674, 38640, 39606, 40572, 41538, 42504, 43470, 44436, 45402, 46368, 47334, 48300, 49266, 50232, 51198, 52164, 53130, 54096, 55062, 56028, 56994, 57960, 58926, 59892, 60858, 61824, 62790, 63756, 64722, 65688, 66654, 67620, 68586, 69552, 70518, 71484, 72450, 73416, 74382, 75348, 76314, 77280, 78246, 79212, 80178, 81144, 82110, 83076, 84042, 85008, 85974, 86940, 87906, 88872, 89838, 90804, 91770, 92736, 93702, 94668, 95634, 96600, 97566, 98532, 99498

There is a total of 103 numbers (up to 100000) that are divisible by 966.
The sum of these numbers is 5173896.
The arithmetic mean of these numbers is 50232.

How to find the numbers divisible by 966?

Finding all the numbers that can be divided by 966 is essentially the same as searching for the multiples of 966: if a number N is a multiple of 966, then 966 is a divisor of N.

Indeed, if we assume that N is a multiple of 966, this means there exists an integer k such that:

$k \times 966 = N$

Conversely, the result of N divided by 966 is this same integer k (without any remainder):

$k = \frac{N}{966}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 966 (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 966 less than 100000):

1 × 966 = 966
2 × 966 = 1932
3 × 966 = 2898
...
102 × 966 = 98532
103 × 966 = 99498