A272211 - OEIS
2, 9, 20, 49, 66, 156, 136, 285, 299, 522, 372, 1036, 574, 1032, 1128, 1643, 1062, 2379, 1340, 2982, 2336, 2844, 1992, 5340, 3007, 4242, 4120, 5992, 3270, 8136, 4064, 8253, 6576, 7506, 7152, 13741, 5966, 9780, 9352, 15570, 7518, 17376, 8404, 16212, 15366, 14328, 10128, 27652, 12939, 21297, 16776, 23422
EXAMPLE
For n = 9 the 9th prime is 23, and the sum of the divisors of 9 is 1 + 3 + 9 = 13, and 23*13 = 299, so a(9) = 299.
On the other hand 9*23 = 207 and the sum of the divisors of 207 is 1 + 3 + 9 + 23 + 69 + 207 = 312 and 312 - 13 = 299, so a(9) = 299.
MATHEMATICA
Table[DivisorSigma[1, n]*Prime[n], {n, 1, 50}] (* G. C. Greubel, Apr 27 2016 *)
PROG
(PARI) a(n) = prime(n)*sigma(n); \\ Michel Marcus, Apr 27 2016