What are the numbers divisible by 982?

982, 1964, 2946, 3928, 4910, 5892, 6874, 7856, 8838, 9820, 10802, 11784, 12766, 13748, 14730, 15712, 16694, 17676, 18658, 19640, 20622, 21604, 22586, 23568, 24550, 25532, 26514, 27496, 28478, 29460, 30442, 31424, 32406, 33388, 34370, 35352, 36334, 37316, 38298, 39280, 40262, 41244, 42226, 43208, 44190, 45172, 46154, 47136, 48118, 49100, 50082, 51064, 52046, 53028, 54010, 54992, 55974, 56956, 57938, 58920, 59902, 60884, 61866, 62848, 63830, 64812, 65794, 66776, 67758, 68740, 69722, 70704, 71686, 72668, 73650, 74632, 75614, 76596, 77578, 78560, 79542, 80524, 81506, 82488, 83470, 84452, 85434, 86416, 87398, 88380, 89362, 90344, 91326, 92308, 93290, 94272, 95254, 96236, 97218, 98200, 99182

There is a total of 101 numbers (up to 100000) that are divisible by 982.
The sum of these numbers is 5058282.
The arithmetic mean of these numbers is 50082.

How to find the numbers divisible by 982?

Finding all the numbers that can be divided by 982 is essentially the same as searching for the multiples of 982: if a number N is a multiple of 982, then 982 is a divisor of N.

Indeed, if we assume that N is a multiple of 982, this means there exists an integer k such that:

$k \times 982 = N$

Conversely, the result of N divided by 982 is this same integer k (without any remainder):

$k = \frac{N}{982}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 982 (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 982 less than 100000):

1 × 982 = 982
2 × 982 = 1964
3 × 982 = 2946
...
100 × 982 = 98200
101 × 982 = 99182