What are the numbers divisible by 981?

981, 1962, 2943, 3924, 4905, 5886, 6867, 7848, 8829, 9810, 10791, 11772, 12753, 13734, 14715, 15696, 16677, 17658, 18639, 19620, 20601, 21582, 22563, 23544, 24525, 25506, 26487, 27468, 28449, 29430, 30411, 31392, 32373, 33354, 34335, 35316, 36297, 37278, 38259, 39240, 40221, 41202, 42183, 43164, 44145, 45126, 46107, 47088, 48069, 49050, 50031, 51012, 51993, 52974, 53955, 54936, 55917, 56898, 57879, 58860, 59841, 60822, 61803, 62784, 63765, 64746, 65727, 66708, 67689, 68670, 69651, 70632, 71613, 72594, 73575, 74556, 75537, 76518, 77499, 78480, 79461, 80442, 81423, 82404, 83385, 84366, 85347, 86328, 87309, 88290, 89271, 90252, 91233, 92214, 93195, 94176, 95157, 96138, 97119, 98100, 99081

There is a total of 101 numbers (up to 100000) that are divisible by 981.
The sum of these numbers is 5053131.
The arithmetic mean of these numbers is 50031.

How to find the numbers divisible by 981?

Finding all the numbers that can be divided by 981 is essentially the same as searching for the multiples of 981: if a number N is a multiple of 981, then 981 is a divisor of N.

Indeed, if we assume that N is a multiple of 981, this means there exists an integer k such that:

$k \times 981 = N$

Conversely, the result of N divided by 981 is this same integer k (without any remainder):

$k = \frac{N}{981}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 981 (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 981 less than 100000):

1 × 981 = 981
2 × 981 = 1962
3 × 981 = 2943
...
100 × 981 = 98100
101 × 981 = 99081