What are the numbers divisible by 721?

721, 1442, 2163, 2884, 3605, 4326, 5047, 5768, 6489, 7210, 7931, 8652, 9373, 10094, 10815, 11536, 12257, 12978, 13699, 14420, 15141, 15862, 16583, 17304, 18025, 18746, 19467, 20188, 20909, 21630, 22351, 23072, 23793, 24514, 25235, 25956, 26677, 27398, 28119, 28840, 29561, 30282, 31003, 31724, 32445, 33166, 33887, 34608, 35329, 36050, 36771, 37492, 38213, 38934, 39655, 40376, 41097, 41818, 42539, 43260, 43981, 44702, 45423, 46144, 46865, 47586, 48307, 49028, 49749, 50470, 51191, 51912, 52633, 53354, 54075, 54796, 55517, 56238, 56959, 57680, 58401, 59122, 59843, 60564, 61285, 62006, 62727, 63448, 64169, 64890, 65611, 66332, 67053, 67774, 68495, 69216, 69937, 70658, 71379, 72100, 72821, 73542, 74263, 74984, 75705, 76426, 77147, 77868, 78589, 79310, 80031, 80752, 81473, 82194, 82915, 83636, 84357, 85078, 85799, 86520, 87241, 87962, 88683, 89404, 90125, 90846, 91567, 92288, 93009, 93730, 94451, 95172, 95893, 96614, 97335, 98056, 98777, 99498

There is a total of 138 numbers (up to 100000) that are divisible by 721.
The sum of these numbers is 6915111.
The arithmetic mean of these numbers is 50109.5.

How to find the numbers divisible by 721?

Finding all the numbers that can be divided by 721 is essentially the same as searching for the multiples of 721: if a number N is a multiple of 721, then 721 is a divisor of N.

Indeed, if we assume that N is a multiple of 721, this means there exists an integer k such that:

$k \times 721 = N$

Conversely, the result of N divided by 721 is this same integer k (without any remainder):

$k = \frac{N}{721}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 721 (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 721 less than 100000):

1 × 721 = 721
2 × 721 = 1442
3 × 721 = 2163
...
137 × 721 = 98777
138 × 721 = 99498