/// <summary>
/// Creates a new amicable number
/// </summary>
/// <param name="num">The amicable number</param>
public AmicableNumber(long num)
{
long sum1, sum2;
this.Number = num;
FactorFinder f = new FactorFinder(num);
f.Find();
f.Factors.RemoveAt(f.Factors.Count - 1);
sum1 = f.Factors.Sum <long>(x => x);
f = new FactorFinder(sum1);
f.Find();
f.Factors.RemoveAt(f.Factors.Count - 1);
sum2 = f.Factors.Sum <long>(x => x);
this.Amicable = sum1;
if (this.Number == sum2 && this.Amicable != this.Number)
{
this.IsAmicable = true;
}
}
/// <summary>
/// Proper number
/// </summary>
/// <param name="num">The number to be converted as a proper number</param>
public ProperNumber(long num)
{
this.Number = num;
FactorFinder f = new FactorFinder(num);
f.Find(true);
Factors = f.Factors;
long sum = Factors.Sum <long>(X => X);
if (sum == this.Number)
{
this.Type = ProperNumberType.Perfect;
}
else if (sum > this.Number)
{
this.Type = ProperNumberType.Abundant;
}
else
{
this.Type = ProperNumberType.Deficient;
}
}