perplexus.info :: Numbers : Stupid number trick III

Stupid number trick III (Posted on 2006-01-11)

Pick any whole number greater than 1.

1. Write down all of its proper divisors (including 1 and the number itself)
2. Add the digits of these divisors.
3. Use this sum to repeat steps 1 and 2 until your number does not change.

Must the process terminate?
At what number(s) can the process terminate at?
What numbers <1000 take the most steps to terminate?

See The Solution Submitted by Jer

Rating: 4.0000 (3 votes)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Answer	K Sengupta	2008-03-19 13:50:03
other suggestions	Justin	2006-01-13 11:15:24
higher values	Justin	2006-01-13 11:10:00
re(2): Fractals & a hard extension	Jer	2006-01-12 07:41:19
re: Fractals & a hard extension	Bob Smith	2006-01-11 15:55:11
re(3): Proof?	Bob Smith	2006-01-11 15:27:01
Fractals & a hard extension	Jer	2006-01-11 14:26:40
re(2): Proof?	goFish	2006-01-11 13:30:39
re: Proof?	Bob Smith	2006-01-11 12:44:16
Proof?	goFish	2006-01-11 12:23:52
computer aid (spoilers)	Bob Smith	2006-01-11 10:39:54

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