Anonymous user
Talk:Proper divisors: Difference between revisions
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I don't believe the definition used is correct. In particular "always includes 1" doesn't follow from the definition given at the linked site, or [http://mathworld.wolfram.com/ProperDivisor.html MathWorld] or [http://oeis.org/A032741 OEIS].
A simple definition from Mathworld: "A positive proper divisor is a positive divisor of a number n, excluding n itself." [[User:Danaj|Danaj]] ([[User talk:Danaj|talk]]) 21:09, 16 December 2014 (UTC)
: From which we see that 1 will always divide an integer without remainder. I make a point about mentioning 1 as a reference stated that sometimes the same term "proper divisors" is used when 1 is excluded. --[[User:Paddy3118|Paddy3118]] ([[User talk:Paddy3118|talk]]) 18:25, 16 December 2014 (UTC)
:: I guess my point was about the input 1. The proper divisors of 1 should be the empty set, while all the current implementations are using the "always includes 1" to mean it should be {1}. Another interesting case is the input 0, but I think we can ignore that. [[User:Danaj|Danaj]] ([[User talk:Danaj|talk]]) 21:09, 16 December 2014 (UTC)
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