
EXAMPLE

n = 7: 2n+1 = 15 = 3*5 > 35 = 5*7 > 57 = 3*19 > 391 = 17*23 > 7132.
Then 7132 has proper divisors 2, 4, 1783, 3566, so we get 2438716653.
Then 2438716653 has proper divisors 3, 9, 27, 81, 243, 1453, 4359, 6907, 13077, 20721, 39231, 62163, 117693, 186489, 353079, 559467, 1678401, 10035871, 30107613, 90322839, 270968517, 812905551, so we get
397218342354195347096770311270213293361263967119846819703537649551048761178530013167010393822309715869072155509218 = 2*3^4*1217*317539*1211548321*33378971294653*8960783431807*17509226460292689821646170308388500174366980857582533580184934929433.
