|
Search: id:A118575
|
|
|
| A118575 |
|
Dividuus numbers : numbers which are divisible by (1) the sum of their digits,(2) the product of their digits,(3) the digital root and (4) the multiplicative digital root. |
|
+0
1
|
|
| 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 24, 111, 112, 132, 135, 144, 312, 315, 432, 612, 624, 1116, 1212, 1344, 1416, 2112, 2232, 3168, 3312, 4112, 4224, 6624, 8112, 11112, 11115, 11133, 11172, 11232, 11313, 11331, 11424, 11664, 12132, 12216, 12312, 12432
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Dividuus : Latin for "divisible" Most of these numbers are even, but there are some odd numbers too. However, none of them seem to end on 7 (except for the obvious number 7 itself). Are there numbers in the sequence ending in 7?
|
|
EXAMPLE
|
624 is in the sequence because (1) the sum of its digits is 6+4+2=12, (2) the product of its digits is 6*4*2=48, (3) the digital root is 3, (4) the multiplicative digital root is 6 and 624 is divisible by 12,48,3 and 6.
|
|
CROSSREFS
|
Sequence in context: A051004 A032575 A038186 this_sequence A165307 A081549 A085889
Adjacent sequences: A118572 A118573 A118574 this_sequence A118576 A118577 A118578
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Luc Stevens (lms022(AT)yahoo.com), May 07 2006
|
|
|
Search completed in 0.002 seconds
|
