A095682 Primitive 1+prime power perfect numbers: if n=Product p_i^r_i then 1PPsigma(n)= Product {Sum p_i^r_i, 1<=s_i<=r_i, s_i is one or prime} 1PPsigma(n)=2*n.

36, 392, 152352, 6072901632, 1444601174400

Offset

1,1

Comments

Factorizations: 2^2*3^2, 2^3*7^2, 2^5*3^2*23^2, 2^13*3^2*7^2*41^2, 2^7*3^5*5^2*29^2*47^2. No squarefree solution exists.

Links

Table of n, a(n) for n=1..5.

Example

1PPsigma(2^5*3^3)=(2+2^2+2^3+2^5)*(3+3^2+3^3)=1794

Crossrefs

Cf. A096290.

Sequence in context: A034686 A160280 A307959 * A083811 A086575 A203027

Adjacent sequences: A095679 A095680 A095681 * A095683 A095684 A095685

Keyword

nonn

Author

Yasutoshi Kohmoto

Status

approved