What are the numbers divisible by 555?

555, 1110, 1665, 2220, 2775, 3330, 3885, 4440, 4995, 5550, 6105, 6660, 7215, 7770, 8325, 8880, 9435, 9990, 10545, 11100, 11655, 12210, 12765, 13320, 13875, 14430, 14985, 15540, 16095, 16650, 17205, 17760, 18315, 18870, 19425, 19980, 20535, 21090, 21645, 22200, 22755, 23310, 23865, 24420, 24975, 25530, 26085, 26640, 27195, 27750, 28305, 28860, 29415, 29970, 30525, 31080, 31635, 32190, 32745, 33300, 33855, 34410, 34965, 35520, 36075, 36630, 37185, 37740, 38295, 38850, 39405, 39960, 40515, 41070, 41625, 42180, 42735, 43290, 43845, 44400, 44955, 45510, 46065, 46620, 47175, 47730, 48285, 48840, 49395, 49950, 50505, 51060, 51615, 52170, 52725, 53280, 53835, 54390, 54945, 55500, 56055, 56610, 57165, 57720, 58275, 58830, 59385, 59940, 60495, 61050, 61605, 62160, 62715, 63270, 63825, 64380, 64935, 65490, 66045, 66600, 67155, 67710, 68265, 68820, 69375, 69930, 70485, 71040, 71595, 72150, 72705, 73260, 73815, 74370, 74925, 75480, 76035, 76590, 77145, 77700, 78255, 78810, 79365, 79920, 80475, 81030, 81585, 82140, 82695, 83250, 83805, 84360, 84915, 85470, 86025, 86580, 87135, 87690, 88245, 88800, 89355, 89910, 90465, 91020, 91575, 92130, 92685, 93240, 93795, 94350, 94905, 95460, 96015, 96570, 97125, 97680, 98235, 98790, 99345, 99900

There is a total of 180 numbers (up to 100000) that are divisible by 555.
The sum of these numbers is 9040950.
The arithmetic mean of these numbers is 50227.5.

How to find the numbers divisible by 555?

Finding all the numbers that can be divided by 555 is essentially the same as searching for the multiples of 555: if a number N is a multiple of 555, then 555 is a divisor of N.

Indeed, if we assume that N is a multiple of 555, this means there exists an integer k such that:

$k \times 555 = N$

Conversely, the result of N divided by 555 is this same integer k (without any remainder):

$k = \frac{N}{555}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 555 (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 555 less than 100000):

1 × 555 = 555
2 × 555 = 1110
3 × 555 = 1665
...
179 × 555 = 99345
180 × 555 = 99900