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A235697
Harshad numbers which when divided by their digital sum, give a quotient which is a Multiple Harshad Numbers-2.
3
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 18, 20, 21, 24, 27, 30, 36, 40, 42, 45, 48, 50, 54, 60, 63, 70, 72, 80, 81, 84, 90, 100, 108, 120, 162, 180, 200, 210, 216, 240, 243, 270, 300, 324, 360, 378, 400, 405, 420, 432, 450, 480, 486, 500, 540, 600, 630, 648, 700, 720, 756, 800, 810, 840, 864, 900, 972, 1000, 1080, 1200, 1296, 1458
OFFSET
1,2
COMMENTS
These numbers are also called MHN-3 or Multiple Harshad Numbers-3.
A Multiple Harshad number is a Harshad number that, when divided by the sum of its digits, produces another Harshad number.
Starts to differ from A235507 at position n=70. - R. J. Mathar, Jun 13 2024
LINKS
Ray Chandler, Table of n, a(n) for n = 1..1947 (all a(n) <= 10^6)
Wikipedia, Harshad Number
EXAMPLE
756 is a term as it gives quotient 42 on division by the digital sum (i.e. 18). 42 gives quotient 7 on division by its digital sum (i.e. 6). As 7 is also a Harshad Number, thus 756 is a MHN-3.
CROSSREFS
Sequence in context: A225780 A225782 A235507 * A085135 A085133 A308560
KEYWORD
nonn,base
AUTHOR
Mihir Mathur, Jan 14 2014
STATUS
approved