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A refactorable number or tau number is an integer n that is divisible by the count of its divisors, or to put it algebraically, n is such that τ ( n ) ∣ n {\displaystyle \tau (n)\mid n} with τ ( n ) = σ 0 ( n ) = ∏ i = 1 n ( e i + 1 ) {\displaystyle \tau (n)=\sigma _{0}(n)=\prod _{i=1}^{n}(e_{i}+1)} for n = ∏ i = 1 n p i e i {\displaystyle n=\prod…
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refactorable numbers displaystyle number colton divisors proved tau first divisible cooper kennedy infinitely many a033950 oeis 18 natural density zero
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| number theory | instance of | which invents and judges definitions from a variety of areas of mathematics | 0.80 | text |
| graph theory | instance of | which invents and judges definitions from a variety of areas of mathematics | 0.80 | text |
| Refactorable number | related to history | First | 0.60 | section |
| Refactorable number | related to history | Curtis Cooper | 0.60 | section |
| Refactorable number | related to history | Robert | 0.60 | section |
| Refactorable number | related to history | Kennedy | 0.60 | section |
| Refactorable number | related to history | Simon Colton | 0.60 | section |
| Refactorable number | related to history | HR | 0.60 | section |
| Refactorable number | related to history | Colton | 0.60 | section |
| Refactorable number | related to history | While | 0.60 | section |
| Refactorable number | related to history | Cooper | 0.60 | section |
| Refactorable number | related to Properties | Cooper | 0.60 | section |
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