perplexus.info :: Just Math : Sum Squared Digits = Number

Sum Squared Digits = Number (Posted on 2010-10-16)

Determine all possible values of a duodecimal (base 12) positive integer N, such that N is obtained by adding the squares of its digits.

Bonus Question:
Determine all possible values of a octodecimal (base 18) positive integer N, such that N is obtained by adding the squares of its digits.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

1; 25₁₂=29=2^2+5^2; A5₁₂=125=10^2+5^2
Bonus Question:
48₁₈=80=4^2+8^2; E8₁₈=260=16^2+2^2 69₁₈=117=6^2+9^2 C9₁₈=225=12^2+9^2

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

Subject	Author	Date
re(2): Possible solution	broll	2010-10-17 03:26:26
re: Possible solution	Steve Herman	2010-10-16 20:20:02
Possible solution	broll	2010-10-16 15:58:39
A few values	Vishal Gupta	2010-10-16 15:49:42

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info