perplexus.info :: Numbers : Some Digits Sum 37

Some Digits Sum 37 (Posted on 2009-06-04)

Determine all possible positive base ten repdigit(s) N, such that the sum of the digits of N² is equal to 37.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

n =2222, 7777 are the required values,
since:sod(2222^2)= sod(4938284)= 37
sod(7777^2) = sod(60481729)= 37
For an explanation, refer to the solution submitted by Charlie here and here..

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

Subject	Author	Date
re(3): computer solution (a quibble)	Steve Herman	2009-06-04 22:40:23
re(2): computer solution (a quibble)	Charlie	2009-06-04 16:34:03
re: computer solution (a quibble)	Steve Herman	2009-06-04 15:21:11
computer solution	Charlie	2009-06-04 13:27:18

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