Original entry on oeis.org
1, 2, 4, 8, 512, 68719476736, 38685626227668133590597632
Offset: 0
A067500
Powers of 3 with digit sum also a power of 3.
Original entry on oeis.org
1, 3, 9, 27, 81, 243, 19683, 59049, 177147, 1594323, 43046721, 129140163, 10460353203, 7625597484987, 617673396283947, 50031545098999707, 150094635296999121, 4052555153018976267
Offset: 1
-
With[{l3s=3^Range[0,200]},Select[l3s,MemberQ[l3s,Total[IntegerDigits[ #]]]&]] (* Harvey P. Dale, May 20 2011 *)
A067501
Powers of 4 with digit sum also a power of 4.
Original entry on oeis.org
1, 4, 68719476736, 95780971304118053647396689196894323976171195136475136, 25108406941546723055343157692830665664409421777856138051584, 1606938044258990275541962092341162602522202993782792835301376
Offset: 1
-
Select[4^Range[0,100],IntegerQ[Log[4,Total[IntegerDigits[#]]]]&] (* Harvey P. Dale, Feb 12 2022 *)
A067502
Powers of 5 with digit sum also a power of 5.
Original entry on oeis.org
1, 5, 390625, 24308653429145084793531500210078610314805672534067059113676236776522261070450716567124784465334818816238150740449697195799672044813632965087890625
Offset: 1
-
Select[5^(Range[209]-1),IntegerQ[Log[5,Total[IntegerDigits[#]]]]&] (* Stefano Spezia, Dec 23 2022 *)
A067503
Powers of 6 with digit sum also a power of 6.
Original entry on oeis.org
1, 6, 279936, 1679616, 10077696, 60466176, 13060694016, 4849687664788584363858837602739217760256, 174588755932389037098918153698611839369216
Offset: 1
A067505
Powers of 8 with digit sum also a power of 8.
Original entry on oeis.org
1, 8, 512, 68719476736, 76957043352332967211482500195592995713046365762627825523336510555167425334955489475418488779072100860950445293568
Offset: 1
Cf.
A067499,
A067500,
A067501,
A067502,
A067503,
A067504,
A067505,
A067506,
A067507,
A067508,
A067509,
A067510,
A067511.
A067504
Powers of 7 with digit sum also a power of 7.
Original entry on oeis.org
1, 7, 2401, 1977326743
Offset: 1
A067506
Powers of 9 with digit sum also a power of 9.
Original entry on oeis.org
1, 9, 81, 150094635296999121
Offset: 1
A067507
Powers of 2 with even digit sum.
Original entry on oeis.org
2, 4, 8, 64, 512, 2048, 8192, 16384, 32768, 131072, 2097152, 67108864, 4294967296, 8589934592, 68719476736, 137438953472, 2199023255552, 4398046511104, 8796093022208, 17592186044416, 35184372088832, 70368744177664
Offset: 1
A067508
Powers of 4 with digit sum divisible by 4.
Original entry on oeis.org
4, 67108864, 68719476736, 1125899906842624, 18446744073709551616, 302231454903657293676544, 1208925819614629174706176, 4835703278458516698824704, 77371252455336267181195264, 316912650057057350374175801344, 5192296858534827628530496329220096
Offset: 1
Showing 1-10 of 13 results.
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