A235697 Harshad numbers which when divided by their digital sum, give a quotient which is a Multiple Harshad Numbers-2.

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

Author

Mihir Mathur, Jan 14 2014

Keywords

• nonn
• base

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

Examples

			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.
		

Links

• Ray Chandler, Table of n, a(n) for n = 1..1947 (all a(n) <= 10^6)
• Wikipedia, Harshad Number

Crossrefs

Cf. A005349, A235507.