Semi Inteｇer Multiply Perfect

[koh]

    Hi, Seqfans

   I computed "Semi Integer Multiply Perfect Number".

        Sigma(m)=k*m,　where k=n/2 for some integer n.

    k=3/2
    m=2

    k=5/2
    m=2^3*3
      2^8*7*19*37*73
      2^14*7*19*31*151

    k=7/2
    m=2^3*3^2*5*13  
      2^5*3^2*7*13  
      2^8*3*5*19*37*73 
      2^9*3^2*11*13*31 
      2^13*3^2*11*13*43*127
      2^14*3*5*19*31*151

    k=9/2
    m=2^7*3^2*5*7*13*17
　    2^10*3^2*5*7*13*23*89
      2^11*3^2*5*7*13^2*61*31



    I found examples of "3/2 Multiply Unitary Perfect Number"  

        Sigma(m)=3/2*m

    2
    2^2*5
    2^3*3
    2^3*3^2*5
    2^4*3*17
    2^4*3^2*5*17
    2^5*3*11
    2^5*3^2*5*11
    2^6*5*7*13
    2^6*3*5^3*7^2*13
    2^7*3*11*43
    2^7*3^2*5*11*43
    2^8*3*11*43*257
    2^8*3^2*5*11*43*257
    2^9*3^2*5^2*7*13*19
    2^9*3^3*5*7*19
    2^11*3^2*5^2*7*13*19*683
    2^11*3^3*5*7*19*683
    2^12*3*11^2*17*31*61*241
    2^12*3^2*5*11^2*17*31*61*241
    2^13*3^2*5^2*7*13*19*683*2731
    2^13*3^3*5*7*19*683*2731



    I will soon submit them.

    Yasutoshi