

A104390


2Smith numbers.


3



32, 42, 60, 70, 104, 152, 231, 315, 316, 322, 330, 342, 361, 406, 430, 450, 540, 602, 610, 612, 632, 703, 722, 812, 1016, 1027, 1029, 1108, 1162, 1190, 1246, 1261, 1304, 1314, 1316, 1351, 1406, 1470, 1510, 1603, 2013, 2054, 2065, 2070, 2071, 2106, 2114
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OFFSET

1,1


REFERENCES

McDaniel, W. L., "The Existence of infinitely Many kSmith numbers", Fibonacci Quarterly, 25(1987), pp. 7680.


LINKS

Table of n, a(n) for n=1..47.
S. S. Gupta, Smith Numbers.


EXAMPLE

32 is a 2Smith number because sum of the digits of its prime factors, i.e., Sp (32) = Sp(2*2*2*2*2)= 2 + 2 + 2 + 2 + 2 = 10, which is equal to twice the digit sum of 32, i.e., 2*S(32) = 2*(3 + 2) = 10.


MATHEMATICA

d[n_]:=IntegerDigits[n]; tr[n_]:=Transpose[FactorInteger[n]]; Select[Range[2120], 2Total[d[#]]==Total[d@tr[#][[1]]*tr[#][[2]], 2]&] (* Jayanta Basu, Jun 04 2013 *)


CROSSREFS

Cf. A006753, A104391.
Sequence in context: A167309 A159007 A114042 * A167528 A269230 A229115
Adjacent sequences: A104387 A104388 A104389 * A104391 A104392 A104393


KEYWORD

nonn,base


AUTHOR

Eric W. Weisstein, Mar 04 2005 and Shyam Sunder Gupta, Mar 11 2005


STATUS

approved



