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A058076
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Numbers n such that n | Sigma_3(n) + Sigma_2(n) + Sigma_1(n) + Sigma_0(n).
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1, 4, 5, 6, 9, 14, 42, 69, 138, 428, 2772, 3243, 3306, 4830, 7882, 24720, 49710, 53403, 314184, 1351280, 1847772, 27247596, 31525032, 41113416, 41590824, 42844894, 44193564, 47287104, 95962560, 104935384, 124365885, 211756464, 569983507
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| sigma_0(n) is the number of divisors of n (A000005).
sigma_1(n) is the sum of the divisors of n [same as sigma(n)] (A000203).
sigma_2(n) is the sum of the squares of the divisors of n (A001157).
sigma_3(n) is the sum of the cubes of the divisors of n (A001158).
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MATHEMATICA
| Do[ If[ Mod[ DivisorSigma[3, n] + DivisorSigma[2, n] + DivisorSigma[1, n] + DivisorSigma[0, n], n] == 0, Print[n]], {n, 1, 6.6 10^6}]
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CROSSREFS
| Sequence in context: A039013 A020669 A091730 * A033819 A058782 A115762
Adjacent sequences: A058073 A058074 A058075 * A058077 A058078 A058079
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KEYWORD
| nonn
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AUTHOR
| Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 11 2000
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EXTENSIONS
| a(22)-a(33) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Mar 06 2011
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