What are the numbers divisible by 491?

491, 982, 1473, 1964, 2455, 2946, 3437, 3928, 4419, 4910, 5401, 5892, 6383, 6874, 7365, 7856, 8347, 8838, 9329, 9820, 10311, 10802, 11293, 11784, 12275, 12766, 13257, 13748, 14239, 14730, 15221, 15712, 16203, 16694, 17185, 17676, 18167, 18658, 19149, 19640, 20131, 20622, 21113, 21604, 22095, 22586, 23077, 23568, 24059, 24550, 25041, 25532, 26023, 26514, 27005, 27496, 27987, 28478, 28969, 29460, 29951, 30442, 30933, 31424, 31915, 32406, 32897, 33388, 33879, 34370, 34861, 35352, 35843, 36334, 36825, 37316, 37807, 38298, 38789, 39280, 39771, 40262, 40753, 41244, 41735, 42226, 42717, 43208, 43699, 44190, 44681, 45172, 45663, 46154, 46645, 47136, 47627, 48118, 48609, 49100, 49591, 50082, 50573, 51064, 51555, 52046, 52537, 53028, 53519, 54010, 54501, 54992, 55483, 55974, 56465, 56956, 57447, 57938, 58429, 58920, 59411, 59902, 60393, 60884, 61375, 61866, 62357, 62848, 63339, 63830, 64321, 64812, 65303, 65794, 66285, 66776, 67267, 67758, 68249, 68740, 69231, 69722, 70213, 70704, 71195, 71686, 72177, 72668, 73159, 73650, 74141, 74632, 75123, 75614, 76105, 76596, 77087, 77578, 78069, 78560, 79051, 79542, 80033, 80524, 81015, 81506, 81997, 82488, 82979, 83470, 83961, 84452, 84943, 85434, 85925, 86416, 86907, 87398, 87889, 88380, 88871, 89362, 89853, 90344, 90835, 91326, 91817, 92308, 92799, 93290, 93781, 94272, 94763, 95254, 95745, 96236, 96727, 97218, 97709, 98200, 98691, 99182, 99673

There is a total of 203 numbers (up to 100000) that are divisible by 491.
The sum of these numbers is 10166646.
The arithmetic mean of these numbers is 50082.

How to find the numbers divisible by 491?

Finding all the numbers that can be divided by 491 is essentially the same as searching for the multiples of 491: if a number N is a multiple of 491, then 491 is a divisor of N.

Indeed, if we assume that N is a multiple of 491, this means there exists an integer k such that:

$k \times 491 = N$

Conversely, the result of N divided by 491 is this same integer k (without any remainder):

$k = \frac{N}{491}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 491 (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 491 less than 100000):

1 × 491 = 491
2 × 491 = 982
3 × 491 = 1473
...
202 × 491 = 99182
203 × 491 = 99673