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F pdsum(n)
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R sum((1 .. (n + 1) I/ 2).filter(x -> @n % x == 0 & @n != x))
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F aliquot(n, maxlen = 16, maxterm = 2 ^ 30)
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I n == 0
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R (‘terminating’, [0])
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V s = [n]
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V slen = 1
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V new = n
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L slen <= maxlen & new < maxterm
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new = pdsum(s.last)
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I new C s
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I s[0] == new
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I slen == 1
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R (‘perfect’, s)
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E I slen == 2
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R (‘amicable’, s)
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E
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R (‘sociable of length #.’.format(slen), s)
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E I s.last == new
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R (‘aspiring’, s)
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E
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R (‘cyclic back to #.’.format(new), s)
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E I new == 0
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R (‘terminating’, s [+] [0])
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E
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s.append(new)
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slen++
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L.was_no_break
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R (‘non-terminating’, s)
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L(n) 1..10
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V (cls, seq) = aliquot(n)
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print(‘#.: #.’.format(cls, seq))
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print()
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L(n) [11, 12, 28, 496, 220, 1184, 12496, 1264460, 790, 909, 562, 1064, 1488]
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V (cls, seq) = aliquot(n)
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print(‘#.: #.’.format(cls, seq))
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