Amicable Numbers Calculator

Posted by Dinesh on

Calculate amicable numbers (sum of all their divisors is equal to the other number), pair sum using amicable number calculator online.

What is Amicable Numbers?

Amicable numbers are two different numbers a and b so related that the sum of the proper divisors of a is equal to the proper divisors of b. A proper divisor of a number is a positive integer divisor other than the number itself. For example, the proper divisor of 88 are 7 dividers (1,2,4,8,11,22 and 92). Note: 88 is not included in the list although it is a divisor of 88.

List of amicable numbers from 1 to 200,000

Amicable Pairs List
ab
220284
1,1841,210
2,6202,924
5,0205,564
6,2326,368
10,74410,856
12,28514,595
17,29618,416
63,02076,084
66,92866,992
67,09571,145
69,61587,633
79,75088,730
100,485124,155
122,265139,815
122,368123,152
141,664153,176
142,310168,730
171,856176,336
176,272180,848

Amicable Numbers, Pair Sum Calculation

Formula:

Amicable = s(m) = n ; s(n) = m
Amicable Pair = σ(n) = σ(m) = s(m)+s(n)

where:
s(n)= σ(n) - n
s(m)= σ(m) - m