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 A177927 3-Monica numbers. 1
 4, 9, 10, 22, 24, 25, 27, 34, 42, 46, 55, 58, 60, 72, 78, 81, 82, 85, 94, 105, 106, 114, 115, 118, 121, 126, 128, 132, 142, 145, 150, 166, 178, 180, 186, 187, 192, 195, 202, 204, 205, 214, 216, 222, 224, 226, 231, 234, 235, 243, 253, 256, 258, 262, 265, 274, 276, 285, 289, 295 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS 3-Monica numbers are composite positive integers n for which 3 divides S(n)-Sp(n), where S(n) denotes the sum of the digits of n and Sp(n) denotes the sum of the digits in an extended prime factorization of n. REFERENCES James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 2005, page 93. E. W. Weisstein, The CRC Concise Encyclopedia of Mathematics, CRC Press, 1999, pages 1192-1193. LINKS Eric Weisstein's World of Mathematics, Monica Set EXAMPLE S(10)=1+0=1, 10=2*5, Sp(10)=2+5=7, S(10)-Sp(10)=-6 which is divisible by 3. CROSSREFS Cf. A006753. Smith numbers are a subset of every n-Monica sequence. Cf. A102217. n-Suzanne numbers are a subset of n-Monica numbers. Cf. A102219. This list of '3-Monica' numbers is incorrect. It does not contain all the Smith numbers and appears to be based on S(n)+Sp(n)=0(mod 3), instead of S(n)-Sp(n)=0(mod 3). Sequence in context: A109412 A061766 A109448 * A062398 A030754 A244863 Adjacent sequences:  A177924 A177925 A177926 * A177928 A177929 A177930 KEYWORD nonn,base AUTHOR Chris Fry, Dec 26 2010 STATUS approved

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Last modified August 5 19:30 EDT 2020. Contains 336213 sequences. (Running on oeis4.)