What are the numbers divisible by 962?

962, 1924, 2886, 3848, 4810, 5772, 6734, 7696, 8658, 9620, 10582, 11544, 12506, 13468, 14430, 15392, 16354, 17316, 18278, 19240, 20202, 21164, 22126, 23088, 24050, 25012, 25974, 26936, 27898, 28860, 29822, 30784, 31746, 32708, 33670, 34632, 35594, 36556, 37518, 38480, 39442, 40404, 41366, 42328, 43290, 44252, 45214, 46176, 47138, 48100, 49062, 50024, 50986, 51948, 52910, 53872, 54834, 55796, 56758, 57720, 58682, 59644, 60606, 61568, 62530, 63492, 64454, 65416, 66378, 67340, 68302, 69264, 70226, 71188, 72150, 73112, 74074, 75036, 75998, 76960, 77922, 78884, 79846, 80808, 81770, 82732, 83694, 84656, 85618, 86580, 87542, 88504, 89466, 90428, 91390, 92352, 93314, 94276, 95238, 96200, 97162, 98124, 99086

There is a total of 103 numbers (up to 100000) that are divisible by 962.
The sum of these numbers is 5152472.
The arithmetic mean of these numbers is 50024.

How to find the numbers divisible by 962?

Finding all the numbers that can be divided by 962 is essentially the same as searching for the multiples of 962: if a number N is a multiple of 962, then 962 is a divisor of N.

Indeed, if we assume that N is a multiple of 962, this means there exists an integer k such that:

$k \times 962 = N$

Conversely, the result of N divided by 962 is this same integer k (without any remainder):

$k = \frac{N}{962}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 962 (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 962 less than 100000):

1 × 962 = 962
2 × 962 = 1924
3 × 962 = 2886
...
102 × 962 = 98124
103 × 962 = 99086