What are the numbers divisible by 580?

580, 1160, 1740, 2320, 2900, 3480, 4060, 4640, 5220, 5800, 6380, 6960, 7540, 8120, 8700, 9280, 9860, 10440, 11020, 11600, 12180, 12760, 13340, 13920, 14500, 15080, 15660, 16240, 16820, 17400, 17980, 18560, 19140, 19720, 20300, 20880, 21460, 22040, 22620, 23200, 23780, 24360, 24940, 25520, 26100, 26680, 27260, 27840, 28420, 29000, 29580, 30160, 30740, 31320, 31900, 32480, 33060, 33640, 34220, 34800, 35380, 35960, 36540, 37120, 37700, 38280, 38860, 39440, 40020, 40600, 41180, 41760, 42340, 42920, 43500, 44080, 44660, 45240, 45820, 46400, 46980, 47560, 48140, 48720, 49300, 49880, 50460, 51040, 51620, 52200, 52780, 53360, 53940, 54520, 55100, 55680, 56260, 56840, 57420, 58000, 58580, 59160, 59740, 60320, 60900, 61480, 62060, 62640, 63220, 63800, 64380, 64960, 65540, 66120, 66700, 67280, 67860, 68440, 69020, 69600, 70180, 70760, 71340, 71920, 72500, 73080, 73660, 74240, 74820, 75400, 75980, 76560, 77140, 77720, 78300, 78880, 79460, 80040, 80620, 81200, 81780, 82360, 82940, 83520, 84100, 84680, 85260, 85840, 86420, 87000, 87580, 88160, 88740, 89320, 89900, 90480, 91060, 91640, 92220, 92800, 93380, 93960, 94540, 95120, 95700, 96280, 96860, 97440, 98020, 98600, 99180, 99760

There is a total of 172 numbers (up to 100000) that are divisible by 580.
The sum of these numbers is 8629240.
The arithmetic mean of these numbers is 50170.

How to find the numbers divisible by 580?

Finding all the numbers that can be divided by 580 is essentially the same as searching for the multiples of 580: if a number N is a multiple of 580, then 580 is a divisor of N.

Indeed, if we assume that N is a multiple of 580, this means there exists an integer k such that:

$k \times 580 = N$

Conversely, the result of N divided by 580 is this same integer k (without any remainder):

$k = \frac{N}{580}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 580 (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 580 less than 100000):

1 × 580 = 580
2 × 580 = 1160
3 × 580 = 1740
...
171 × 580 = 99180
172 × 580 = 99760