How do I know if a number is amicable?
Steps to Find Amicable Number Find the sum of divisors (sumdiv1, sumdiv2) of both numbers. Check if the sum of divisors of one number is equal to the other number or not. If equal, the pair of numbers is amicable.
What is amicable number example?
Note: 220 and 284 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 calculate amicable 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. That is, σ(a)=b and σ(b)=a, where σ(n) is equal to the sum of positive divisors of n (see also divisor function). The smallest pair of amicable numbers is (220, 284).
Is 60 and 84 amicable numbers?
Amicable Numbers The Greeks considered the pair of numbers 220 and 284 to be amicable or friendly numbers because the sum of the proper divisors of one of the numbers is the other number. a. 60 and 84 are amicable numbers.
What are amicable numbers used for?
Amicable numbers are two different numbers so related that the sum of the proper divisors of each is equal to the other number. (A proper divisor of a number is a positive integer divisor other than the number itself. For example, the proper divisors of 6 are 1, 2, and 3.)
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– 220 and 284 are Amicable Numbers.
Are 1184 and 1210 amicable numbers?
Now, proper divisors of number 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 269, 592 and similarly proper divisors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605. Hence, numbers 1184 and 1210 are amicable numbers. Note: A proper divisor of a number is a positive factor of that number other than the number itself.
What is the first pair of 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).
How many pairs of amicable numbers are there?
Altogether there are 42 pairs of amicable numbers below 106.
What is another name for amicable numbers?
, is called the pair sum. 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).