A217532 Numbers k such that sum of 4th power of digits of k equals the sum of prime divisors of k.

210, 1210, 2100, 12100, 21000, 21021, 36522, 63141, 89195, 92029, 112132, 116010, 118461, 121000, 149851, 203013, 203202, 210000, 214456, 303142, 304341, 313230, 323723, 331401, 351760, 416213, 441532, 524371, 534656, 574915, 610171, 654560, 897648, 999643

Offset

1,1

Comments

Numbers k such that A055013(k) = A008472(k).

Links

Table of n, a(n) for n=1..34.

Example

210 = 2*3*5*7 is in the sequence because 2^4 + 1^4 + 0^4 = 2 + 3 + 5 + 7 = 17.

Mathematica

Rest[Select[Range[1000000], Total[Transpose[FactorInteger[#]][[1]]]==Total[IntegerDigits[#]^4]&]]

Crossrefs

Cf. A055013, A008472.

Sequence in context: A235248 A235241 A046302 * A289319 A157408 A333771

Adjacent sequences: A217529 A217530 A217531 * A217533 A217534 A217535

Keyword

nonn,easy,base

Author

Michel Lagneau, Oct 05 2012

Status

approved