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Amicable numbers are pairs of numbers for which the sum of the proper divisors (the divisors except for the number itself) equals the other number in the pair. The smallest amicable pair is 220 and 284. The proper divisors of 220 are and the factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, the sum of which is 284. The proper divisors of 284 are 1, 2, 4, 71, and 142, the sum of which is 220.
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Who are the famous mathematicians who discovered the amicable numbers?
Pythagoras discovered the smallest pair of amicable numbers: 220 and 284. The Arab mathematician Al-Banna found a larger amicable pair, 17,296 and 18,416, but European mathematicians were not aware of this discovery. Pierre de Fermat rediscovered this amicable pair in 1636. Rene Descartes rediscovered another amicable pair known to Arab mathematicians in 1638 - the pair 9,363,584 and 9,437,056. Leonhard Euler found 30 pairs of amicable numbers by 1747 because he developed a formula that could produce amicable pairs. B. Nicolo I. Paganini found the smaller amicable pair 1184 and 1210 that had been missed by other European mathematicians in 1866.
Is 284 a perfect number?
No, but the pair (220, 284) are amicable.
What is the friend adverb?
The adverb form is friendly, in a amicable manner. For example: He seemed friendly. The word friendly is also an adjective: He has a friendly smile.
Can you give me an example of an infinite set?
The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.The sets of natural numbers, even numbers, odd numbers, prime numbers, rational numbers, irrational numbers, algebraic numbers, trascendental numbers, complex numbers, the sets of points in an euclidean space, etc.
What are the difference between natural numbers and irrational numbers?
All natural numbers are rational numbers. No irrational numbers are natural numbers.
What is an example of amicable numbers?
220 & 284
What are amicable pairs?
Amicable pairs are two numbers that are related in such a way that total of the divisors of each is the same as the other number. This is the case of numbers 220 and 284.
Who discovered the amicable numbers 2620 and 2924?
The amicable numbers 2620 and 2924 were discovered by the ancient Greek mathematician Pythagoras. These numbers have a special relationship where the sum of the factors of one number equals the other, and vice versa.
What is an amicable number?
An amicable number is one of a pair of numbers which have the property that the sum of the divisors of each, excluding itself, is equal to the other number.
Who are the famous mathematicians who discovered the amicable numbers?
Pythagoras discovered the smallest pair of amicable numbers: 220 and 284. The Arab mathematician Al-Banna found a larger amicable pair, 17,296 and 18,416, but European mathematicians were not aware of this discovery. Pierre de Fermat rediscovered this amicable pair in 1636. Rene Descartes rediscovered another amicable pair known to Arab mathematicians in 1638 - the pair 9,363,584 and 9,437,056. Leonhard Euler found 30 pairs of amicable numbers by 1747 because he developed a formula that could produce amicable pairs. B. Nicolo I. Paganini found the smaller amicable pair 1184 and 1210 that had been missed by other European mathematicians in 1866.
2 numbers the factor of each adds up to make the other number?
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. For example, the smallest pair of amicable numbers is (220, 284)
Where is the stress mark in amicable?
Amicable is stressed on the first syllable.
What rhymes with amicable?
There are no exact rhymes for the word amicable.
What is the prefix for amicable?
The prefix for "amicable" is "a-", which means "not" or "without."
Amicable in a sentence?
He is an amicable, friendly fellow, always happy to communicate and share mutual interests, hobbies or sports. He is usually amicable even though circumstances might not be optimistic.
What is the difference between amicable and conciliation?
'Amicable' is an adjective. 'Conciliation' is a noun. Amicable means 'friendly.' 'Conciliation' is "the act of makingfriendly."
Would you please demonstrate the use of the word 'amicable' in a sentence?
My parents are very amicable to me when they give me surprises. All interested parties agreed that the armistice was an amicable agreement. Not all of it is entirely amicable.
