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 A221263 Numbers k such that sigma(k) is the fifth power of the sum of the prime divisors of k. 3
 213556659624, 359544809085, 1329797339640, 1548635130140, 1746049287480, 1810001934510, 1867318744632, 1875874796664, 1909975290390, 2040256862622, 2516452216712, 3407803953785, 6329875033944, 7792308679512, 7840198408728, 7877108796312, 8098434291288, 8241610823832 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The smallest k for which sigma(k) = sopf(k)^6 is 45770980141656. Other such values are 5245619666623908 and 5582294774581035. LINKS Robert Gerbicz, Table of n, a(n) for n = 1..10000 EXAMPLE 213556659624 = 2^3*3^3*7^3*11*31*79*107 and sigma(213556659624) = (2+3+7+11+31+79+107)^5. CROSSREFS Cf. A000203, A008472. Cf. A187771 (sigma(k)=sopf(k)^3), A221262 (sigma(k)=sopf(k)^4). Sequence in context: A108048 A108496 A185430 * A172614 A112431 A202725 Adjacent sequences: A221260 A221261 A221262 * A221264 A221265 A221266 KEYWORD nonn AUTHOR Giovanni Resta, Jan 07 2013 STATUS approved

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Last modified September 7 10:38 EDT 2024. Contains 375730 sequences. (Running on oeis4.)