A062382 Positive numbers whose product of digits is 5 times their sum.

257, 275, 345, 354, 435, 453, 527, 534, 543, 572, 725, 752, 1258, 1285, 1528, 1582, 1825, 1852, 2158, 2185, 2235, 2253, 2325, 2352, 2518, 2523, 2532, 2581, 2815, 2851, 3225, 3252, 3522, 5128, 5182, 5218, 5223, 5232, 5281, 5322, 5812, 5821, 8125, 8152

Offset: 1

Author

Amarnath Murthy, Jun 27 2001

Keywords

• nonn
• base
• easy

Examples

			2235 belongs to the sequence as (2*2*3*5)/(2+2+3+5) = 60/12 = 5.
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..500

Crossrefs

Cf. A011540, A034710, A062034, A062035, A062036, A062037, A062384, A062040, A062041, A062043, A062045.

Programs

Mathematica

Select[Range[9000],Times@@IntegerDigits[#]==5*Total[IntegerDigits[#]]&] (* Harvey P. Dale, Mar 01 2012 *)

PARI

isok(n) = my(d=digits(n)); vecprod(d)==5*vecsum(d) \\ Mohammed Yaseen, Aug 02 2022

Python

from math import prod
def ok(n): d = list(map(int, str(n))); return prod(d) == 5*sum(d)
print([k for k in range(1, 9000) if ok(k)]) # Michael S. Branicky, Aug 02 2022

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jul 06 2001

Offset corrected by Mohammed Yaseen, Aug 02 2022