What are the numbers divisible by 575?

575, 1150, 1725, 2300, 2875, 3450, 4025, 4600, 5175, 5750, 6325, 6900, 7475, 8050, 8625, 9200, 9775, 10350, 10925, 11500, 12075, 12650, 13225, 13800, 14375, 14950, 15525, 16100, 16675, 17250, 17825, 18400, 18975, 19550, 20125, 20700, 21275, 21850, 22425, 23000, 23575, 24150, 24725, 25300, 25875, 26450, 27025, 27600, 28175, 28750, 29325, 29900, 30475, 31050, 31625, 32200, 32775, 33350, 33925, 34500, 35075, 35650, 36225, 36800, 37375, 37950, 38525, 39100, 39675, 40250, 40825, 41400, 41975, 42550, 43125, 43700, 44275, 44850, 45425, 46000, 46575, 47150, 47725, 48300, 48875, 49450, 50025, 50600, 51175, 51750, 52325, 52900, 53475, 54050, 54625, 55200, 55775, 56350, 56925, 57500, 58075, 58650, 59225, 59800, 60375, 60950, 61525, 62100, 62675, 63250, 63825, 64400, 64975, 65550, 66125, 66700, 67275, 67850, 68425, 69000, 69575, 70150, 70725, 71300, 71875, 72450, 73025, 73600, 74175, 74750, 75325, 75900, 76475, 77050, 77625, 78200, 78775, 79350, 79925, 80500, 81075, 81650, 82225, 82800, 83375, 83950, 84525, 85100, 85675, 86250, 86825, 87400, 87975, 88550, 89125, 89700, 90275, 90850, 91425, 92000, 92575, 93150, 93725, 94300, 94875, 95450, 96025, 96600, 97175, 97750, 98325, 98900, 99475

There is a total of 173 numbers (up to 100000) that are divisible by 575.
The sum of these numbers is 8654325.
The arithmetic mean of these numbers is 50025.

How to find the numbers divisible by 575?

Finding all the numbers that can be divided by 575 is essentially the same as searching for the multiples of 575: if a number N is a multiple of 575, then 575 is a divisor of N.

Indeed, if we assume that N is a multiple of 575, this means there exists an integer k such that:

$k \times 575 = N$

Conversely, the result of N divided by 575 is this same integer k (without any remainder):

$k = \frac{N}{575}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 575 (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 575 less than 100000):

1 × 575 = 575
2 × 575 = 1150
3 × 575 = 1725
...
172 × 575 = 98900
173 × 575 = 99475