What are the numbers divisible by 730?

730, 1460, 2190, 2920, 3650, 4380, 5110, 5840, 6570, 7300, 8030, 8760, 9490, 10220, 10950, 11680, 12410, 13140, 13870, 14600, 15330, 16060, 16790, 17520, 18250, 18980, 19710, 20440, 21170, 21900, 22630, 23360, 24090, 24820, 25550, 26280, 27010, 27740, 28470, 29200, 29930, 30660, 31390, 32120, 32850, 33580, 34310, 35040, 35770, 36500, 37230, 37960, 38690, 39420, 40150, 40880, 41610, 42340, 43070, 43800, 44530, 45260, 45990, 46720, 47450, 48180, 48910, 49640, 50370, 51100, 51830, 52560, 53290, 54020, 54750, 55480, 56210, 56940, 57670, 58400, 59130, 59860, 60590, 61320, 62050, 62780, 63510, 64240, 64970, 65700, 66430, 67160, 67890, 68620, 69350, 70080, 70810, 71540, 72270, 73000, 73730, 74460, 75190, 75920, 76650, 77380, 78110, 78840, 79570, 80300, 81030, 81760, 82490, 83220, 83950, 84680, 85410, 86140, 86870, 87600, 88330, 89060, 89790, 90520, 91250, 91980, 92710, 93440, 94170, 94900, 95630, 96360, 97090, 97820, 98550, 99280

There is a total of 136 numbers (up to 100000) that are divisible by 730.
The sum of these numbers is 6800680.
The arithmetic mean of these numbers is 50005.

How to find the numbers divisible by 730?

Finding all the numbers that can be divided by 730 is essentially the same as searching for the multiples of 730: if a number N is a multiple of 730, then 730 is a divisor of N.

Indeed, if we assume that N is a multiple of 730, this means there exists an integer k such that:

$k \times 730 = N$

Conversely, the result of N divided by 730 is this same integer k (without any remainder):

$k = \frac{N}{730}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 730 (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 730 less than 100000):

1 × 730 = 730
2 × 730 = 1460
3 × 730 = 2190
...
135 × 730 = 98550
136 × 730 = 99280