A221263 Numbers k such that sigma(k) is the fifth power of the sum of the prime divisors of k.

213556659624, 359544809085, 1329797339640, 1548635130140, 1746049287480, 1810001934510, 1867318744632, 1875874796664, 1909975290390, 2040256862622, 2516452216712, 3407803953785, 6329875033944, 7792308679512, 7840198408728, 7877108796312, 8098434291288, 8241610823832

Offset: 1

Author

Giovanni Resta, Jan 07 2013

Keywords

• nonn

Comments

The smallest k for which sigma(k) = sopf(k)^6 is 45770980141656. Other such values are 5245619666623908 and 5582294774581035.

Examples

			213556659624 = 2^3*3^3*7^3*11*31*79*107 and sigma(213556659624) = (2+3+7+11+31+79+107)^5.
		

Links

• Robert Gerbicz, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A000203, A008472.

Cf. A187771 (sigma(k)=sopf(k)^3), A221262 (sigma(k)=sopf(k)^4).