コレクション 220 284 Amicable Numbers 252767-220 284 Friendly Numbers

Amicable Numbers

Amicable Numbers

Answer (1 of 2) Amicable numbers are defined as two different numbers, each of which is the sum of the proper divisors of the other (Proper divisors include allAmicable numbers are pairs of numbers that have the property that each of the two numbers is the sum of the proper divisors of the other 2 and 284 form the smallest pair of amicable numbers The proper divisors of 2 are 1, 2, 4, 5, 10, 11, , 22, 44, 55, and 110, which sum to

220 284 friendly numbers



220 284 friendly numbers-Amicable numbers are two different natural numbers related in such a way that the sum of the proper divisors of each is equal to the other number The smallest pair of amicable numbers is (2, 284) The smallest pair of amicable numbers is (2, 284)Amicable numbers The pair of numbers 2 and 284 have the curious property that each "contains" the other In what way?

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Amicable Numbers Amicable numbers are two different numbers related in such a way that the sum of the proper divisors of each is equal to the other number The smallest pair of amicable numbers is (2, 284)A pair of numbers x and y is called amicable if the sum of the proper divisors of either one is equal to the other The smallest pair is x = 2, y = 284 The sequence lists the amicable numbers in increasing order Note that the pairs x, y are not adjacent to each other in the list See also A0025 for the x's, A0046 for the y'sNumere amiabile Amicable numbers De la Wikipedia, enciclopedia liberă Această formulă dă perechile (2, 284) pentru n = 2, (, ) pentru n = 4 și (, ) pentru n = 7, dar nu se cunosc alte astfel de perechi Numerele de forma 3 × 2 n

Hence, 2 and 284 are amicable numbers 2 and 284 is the smallest or first pair of amicable numbers Note For a pair of two numbers P and Q, P = sum of proper divisors of Q and Q = sum of proper divisors of P List of some amicable pairs In any case, amicable numbers are pairs of numbers who the sum of their proper divisors are equal to one another The first pair of amicable numbers are 2 and 284, so the summations get quite messy at this pointSo d(284) = 2 Evaluate the sum of all the amicable numbers under Solution This problem’s description can lead to some confusion because we want to add amicable numbers – not amicable pairs – below some limit

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