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A249335
Numbers n for which the digital sum contains the same distinct digits as the digital product but the digital sum is not equal to the digital product.
4
99, 1137, 1173, 1317, 1371, 1713, 1731, 3117, 3171, 3344, 3434, 3443, 3711, 4334, 4343, 4433, 7113, 7131, 7311, 11558, 11585, 11855, 15158, 15185, 15518, 15581, 15815, 15851, 18155, 18515, 18551, 22334, 22343, 22433, 23234, 23243, 23324, 23342, 23423, 23432
OFFSET
1,1
COMMENTS
Numbers n such that A007953(n) contains the same distinct digits as A007954(n) but A007953(n) is not equal to A007954(n).
Complement of A034710 with respect to A249334.
LINKS
Chai Wah Wu, Table of n, a(n) for n = 1..10000 (n = 1..100 from Jaroslav Krizek)
EXAMPLE
1137 is a member since 1+1+3+7 = 12 and 1*1*3*7 = 21.
PROG
(Magma) [n: n in [1..10^6] | (&*Intseq(n)) ne (&+Intseq(n)) and Set(Intseq(&*Intseq(n))) eq Set(Intseq(&+Intseq(n)))]
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Jaroslav Krizek, Oct 25 2014
STATUS
approved