What are the numbers divisible by 493?

493, 986, 1479, 1972, 2465, 2958, 3451, 3944, 4437, 4930, 5423, 5916, 6409, 6902, 7395, 7888, 8381, 8874, 9367, 9860, 10353, 10846, 11339, 11832, 12325, 12818, 13311, 13804, 14297, 14790, 15283, 15776, 16269, 16762, 17255, 17748, 18241, 18734, 19227, 19720, 20213, 20706, 21199, 21692, 22185, 22678, 23171, 23664, 24157, 24650, 25143, 25636, 26129, 26622, 27115, 27608, 28101, 28594, 29087, 29580, 30073, 30566, 31059, 31552, 32045, 32538, 33031, 33524, 34017, 34510, 35003, 35496, 35989, 36482, 36975, 37468, 37961, 38454, 38947, 39440, 39933, 40426, 40919, 41412, 41905, 42398, 42891, 43384, 43877, 44370, 44863, 45356, 45849, 46342, 46835, 47328, 47821, 48314, 48807, 49300, 49793, 50286, 50779, 51272, 51765, 52258, 52751, 53244, 53737, 54230, 54723, 55216, 55709, 56202, 56695, 57188, 57681, 58174, 58667, 59160, 59653, 60146, 60639, 61132, 61625, 62118, 62611, 63104, 63597, 64090, 64583, 65076, 65569, 66062, 66555, 67048, 67541, 68034, 68527, 69020, 69513, 70006, 70499, 70992, 71485, 71978, 72471, 72964, 73457, 73950, 74443, 74936, 75429, 75922, 76415, 76908, 77401, 77894, 78387, 78880, 79373, 79866, 80359, 80852, 81345, 81838, 82331, 82824, 83317, 83810, 84303, 84796, 85289, 85782, 86275, 86768, 87261, 87754, 88247, 88740, 89233, 89726, 90219, 90712, 91205, 91698, 92191, 92684, 93177, 93670, 94163, 94656, 95149, 95642, 96135, 96628, 97121, 97614, 98107, 98600, 99093, 99586

There is a total of 202 numbers (up to 100000) that are divisible by 493.
The sum of these numbers is 10107979.
The arithmetic mean of these numbers is 50039.5.

How to find the numbers divisible by 493?

Finding all the numbers that can be divided by 493 is essentially the same as searching for the multiples of 493: if a number N is a multiple of 493, then 493 is a divisor of N.

Indeed, if we assume that N is a multiple of 493, this means there exists an integer k such that:

$k \times 493 = N$

Conversely, the result of N divided by 493 is this same integer k (without any remainder):

$k = \frac{N}{493}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 493 (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 493 less than 100000):

1 × 493 = 493
2 × 493 = 986
3 × 493 = 1479
...
201 × 493 = 99093
202 × 493 = 99586