Template:Sequence of the Day for July 22

Intended for: July 22, 2012

Timetable

• First draft entered by Alonso del Arte on April 29, 2011 as a verbatim copy of a write-up from November 14, 2010. ✓
• Draft reviewed by Alonso del Arte on July 16, 2011 ✓
• Draft approved by Daniel Forgues on July 20, 2011 ✓

Yesterday's SOTD * Tomorrow's SOTD

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A038770 Numbers divisible by at least one of their base 10 digits.

{ ..., 20, 21, 22, 24, 25, 26, 28, ... }

I choose to start the listing at 20 because 1-digit numbers are trivially members of this sequence, while 2-digit numbers with a 1 among their digits are also trivially in this sequence. The choice of base 10 here encourages multiples of 5 but discourages odd multiples of 3 or 7. Regardless of the base, most prime numbers are excluded if in that base they are more than one digit and none of their digits in that base are 1.