What are amicable numbers examples?

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What are amicable numbers examples?

What are amicable numbers examples?

Note: 2 are examples of amicable numbers. The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, which sum to 284, while the factors of 284 are 1, 2, 4, 71, and 142, which sum to 220.

How do you show that two numbers are amicable?

…“amicable numbers”: two numbers are amicable if each is equal to the sum of the proper divisors of the other (for example, 2).

Are 5020 and 5564 amicable numbers?

The first few amicable pairs are (220, 284), (1184, 1210), (2620, 2924) (5020, 5564), (6232, 6368), (10744, 10856), (12285, 14595), (17296, 18416), (63020, 76084), ... ... (OEIS A002025 and A002046).

Which of the following pairs are amicable numbers?

Thus, the first amicable pair, or 'friendly numbers' as they were called, to be found was 2. This turns out to be the smallest amicable pair. 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 1. 284 is divisible by 1, 2, 4, 71, 142, and 284.

What is amicable number Program?

Amicable Numbers Program in Java. Two different numbers are said to be so Amicable Numbers if each sum of divisors is equal to the other number. Amicable Numbers are: (220, 284), (1184, 1210), (2620, 2924), (5020, 5564), (6232, 6368) etc. Example– 2 are Amicable Numbers.

How do you solve amicable numbers?

Two numbers are said to be amicable if each number is the sum of the proper divisors of the other. A proper divisor of a number is any divisor of the number except the number itself. For example, the proper divisor of 12 are 1, 2, 3, 4, and 6.

Is 6 an amicable number?

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 (220, 284). ... For example, the proper divisors of 6 are 1, 2, and 3.) A pair of amicable numbers constitutes an aliquot sequence of period 2.

How are amicable numbers related to friendly numbers?

  • The amicable numbers are two different numbers (a pair of numbers) so related that the sum of the proper divisors (excluding the number itself) of one of the numbers is equal to the other. A proper divisor of a number is a divisor other than the number itself. It is also known as friendly numbers.

How are two amicable numbers related in Java?

  • The amicable number program frequently asked in Java coding tests and academics. The amicable numbers are two different numbers (a pair of numbers) so related that the sum of the proper divisors (excluding the number itself) of one of the numbers is equal to the other. A proper divisor of a number is a divisor other than the number itself.

Who is the inventor of the amicable number?

  • Amicable numbers were known to the Pythagoreans, who credited them with many mystical properties. A general formula by which some of these numbers could be derived was invented circa 850 by the Iraqi mathematician Thābit ibn Qurra (826–901).

How are sociable numbers related to perfect numbers?

  • A related concept is that of a perfect number, which is a number that equals the sum of its own proper divisors, in other words a number which forms an aliquot sequence of period 1. Numbers that are members of an aliquot sequence with period greater than 2 are known as sociable numbers .

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