What are the numbers divisible by 487?

487, 974, 1461, 1948, 2435, 2922, 3409, 3896, 4383, 4870, 5357, 5844, 6331, 6818, 7305, 7792, 8279, 8766, 9253, 9740, 10227, 10714, 11201, 11688, 12175, 12662, 13149, 13636, 14123, 14610, 15097, 15584, 16071, 16558, 17045, 17532, 18019, 18506, 18993, 19480, 19967, 20454, 20941, 21428, 21915, 22402, 22889, 23376, 23863, 24350, 24837, 25324, 25811, 26298, 26785, 27272, 27759, 28246, 28733, 29220, 29707, 30194, 30681, 31168, 31655, 32142, 32629, 33116, 33603, 34090, 34577, 35064, 35551, 36038, 36525, 37012, 37499, 37986, 38473, 38960, 39447, 39934, 40421, 40908, 41395, 41882, 42369, 42856, 43343, 43830, 44317, 44804, 45291, 45778, 46265, 46752, 47239, 47726, 48213, 48700, 49187, 49674, 50161, 50648, 51135, 51622, 52109, 52596, 53083, 53570, 54057, 54544, 55031, 55518, 56005, 56492, 56979, 57466, 57953, 58440, 58927, 59414, 59901, 60388, 60875, 61362, 61849, 62336, 62823, 63310, 63797, 64284, 64771, 65258, 65745, 66232, 66719, 67206, 67693, 68180, 68667, 69154, 69641, 70128, 70615, 71102, 71589, 72076, 72563, 73050, 73537, 74024, 74511, 74998, 75485, 75972, 76459, 76946, 77433, 77920, 78407, 78894, 79381, 79868, 80355, 80842, 81329, 81816, 82303, 82790, 83277, 83764, 84251, 84738, 85225, 85712, 86199, 86686, 87173, 87660, 88147, 88634, 89121, 89608, 90095, 90582, 91069, 91556, 92043, 92530, 93017, 93504, 93991, 94478, 94965, 95452, 95939, 96426, 96913, 97400, 97887, 98374, 98861, 99348, 99835

There is a total of 205 numbers (up to 100000) that are divisible by 487.
The sum of these numbers is 10283005.
The arithmetic mean of these numbers is 50161.

How to find the numbers divisible by 487?

Finding all the numbers that can be divided by 487 is essentially the same as searching for the multiples of 487: if a number N is a multiple of 487, then 487 is a divisor of N.

Indeed, if we assume that N is a multiple of 487, this means there exists an integer k such that:

$k \times 487 = N$

Conversely, the result of N divided by 487 is this same integer k (without any remainder):

$k = \frac{N}{487}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 487 (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 487 less than 100000):

1 × 487 = 487
2 × 487 = 974
3 × 487 = 1461
...
204 × 487 = 99348
205 × 487 = 99835