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 A095724 Fixed point of 1+Phi power sigma function: if n=Product p_i^r_i then 1PhiPsigma(n)= Product {Sum p_i^r_i, 0<=s_i
 12, 56, 528, 992, 6720, 16256, 666624, 67100672 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Factorizations : 2^2*3, 2^3*7, 2^4*3*11, 2^5*31, 2^6*3*5*7, 2^7*127, 2^10*3*7*31 If m is a perfect number then 2*m exists on the sequence. examples : 2^2*3, 2^3*7, 2^5*31, 2^7*127, .... If a(n)=2^r*k, GCD(2^r,k)=1, then k is squarefree. LINKS EXAMPLE 1+PhiPsigma(2^5*3^4)=(1+2+2^2+2^3+2^4)*(1+3+3^3)=961 All exponents of the terms are 0 or coprime to the powers of corresponding prime factors of 2^5*3^3. CROSSREFS Cf. A061389, A095723. Sequence in context: A081756 A307741 A027147 * A225880 A224832 A139256 Adjacent sequences:  A095721 A095722 A095723 * A095725 A095726 A095727 KEYWORD nonn AUTHOR Yasutoshi Kohmoto, Jul 08 2004 EXTENSIONS 67100672 from Jud McCranie, Jul 16 2004 STATUS approved

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Last modified September 27 01:12 EDT 2021. Contains 347673 sequences. (Running on oeis4.)