What are the numbers divisible by 530?

530, 1060, 1590, 2120, 2650, 3180, 3710, 4240, 4770, 5300, 5830, 6360, 6890, 7420, 7950, 8480, 9010, 9540, 10070, 10600, 11130, 11660, 12190, 12720, 13250, 13780, 14310, 14840, 15370, 15900, 16430, 16960, 17490, 18020, 18550, 19080, 19610, 20140, 20670, 21200, 21730, 22260, 22790, 23320, 23850, 24380, 24910, 25440, 25970, 26500, 27030, 27560, 28090, 28620, 29150, 29680, 30210, 30740, 31270, 31800, 32330, 32860, 33390, 33920, 34450, 34980, 35510, 36040, 36570, 37100, 37630, 38160, 38690, 39220, 39750, 40280, 40810, 41340, 41870, 42400, 42930, 43460, 43990, 44520, 45050, 45580, 46110, 46640, 47170, 47700, 48230, 48760, 49290, 49820, 50350, 50880, 51410, 51940, 52470, 53000, 53530, 54060, 54590, 55120, 55650, 56180, 56710, 57240, 57770, 58300, 58830, 59360, 59890, 60420, 60950, 61480, 62010, 62540, 63070, 63600, 64130, 64660, 65190, 65720, 66250, 66780, 67310, 67840, 68370, 68900, 69430, 69960, 70490, 71020, 71550, 72080, 72610, 73140, 73670, 74200, 74730, 75260, 75790, 76320, 76850, 77380, 77910, 78440, 78970, 79500, 80030, 80560, 81090, 81620, 82150, 82680, 83210, 83740, 84270, 84800, 85330, 85860, 86390, 86920, 87450, 87980, 88510, 89040, 89570, 90100, 90630, 91160, 91690, 92220, 92750, 93280, 93810, 94340, 94870, 95400, 95930, 96460, 96990, 97520, 98050, 98580, 99110, 99640

There is a total of 188 numbers (up to 100000) that are divisible by 530.
The sum of these numbers is 9415980.
The arithmetic mean of these numbers is 50085.

How to find the numbers divisible by 530?

Finding all the numbers that can be divided by 530 is essentially the same as searching for the multiples of 530: if a number N is a multiple of 530, then 530 is a divisor of N.

Indeed, if we assume that N is a multiple of 530, this means there exists an integer k such that:

$k \times 530 = N$

Conversely, the result of N divided by 530 is this same integer k (without any remainder):

$k = \frac{N}{530}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 530 (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 530 less than 100000):

1 × 530 = 530
2 × 530 = 1060
3 × 530 = 1590
...
187 × 530 = 99110
188 × 530 = 99640