NeoPets Riddles (Lenny Conundrums) and Answers Here

Mine is blinkin_sprog ^__^

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Hey Phyron -- did you get a win?
Phyron, did you get it right? I'm hoping so.. mine came through but I just used the number 220.. no other info. If not, next time you'll know the right procedure.

Nice big prize this time, too. 1236 NP!!

Still Silver trophy, though Smile

Must.. have... gold!!!!

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A digital sum of a number is found by adding all of the digits of a number, then adding all the digits of that number, and so on, until you are left with a one-digit number.

For example, the digital sum of the number 729 would be found like this: 7+2+ 9 = 18, and then 1+ 8 = 9.

What is the digital sum of the number that can be found by the following formula?

(9^62773 + 2)^83721

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When I put 9^62773 in I get Infinity as the answer >_>

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Yeah, my TI-89 says the same thing... that means there has to be a trick to this...

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Would you have to digital sum thing to the ^no.s too? Surprised

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do you digital sum ever number you come across?

I tried 9^6 then 9^2 and so on untill i figured out what was in the ( ) but now i dont know if i continue to do that.

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If I do it that way I get one as the answer.

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I got 9^62773+2, but the calculator I used online requires you to enter each number individually by clicking, and umm.... It's about 2 pages long on my wordpad. Confused

So, raising that number to the 83721th power is going to be a little tough.

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I tried the digital sum of the exponents (62773) and came up with 41 then 5.
9^5+2=59051
The digital sum of the exponents on the outside (83721) comes out to 21 then 3.
59051^3=205912053509651
the digital sum of that comes out to 53 then 8.
If this is correct I don't know, but it's the closest I've come to it

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i tried the same thing as seahawker but i get diferent answers ever time i dont get this one its pretty hard someone help?

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the digital sum of 9 to any power is 9
9+2 = 11 -> 2

2^83721...
2^1 = 2 -> 2
2^2 = 4 -> 4
2^3 = 8 -> 8
2^4 = 16 -> 7
2^5 = 32 -> 5
2^5 = 64 -> 1
2^6 = 128 -> 2
2^7 = 256 -> 4

the digital pattern of 2^n is 2 4 8 7 5 1 and it repeats
83721 / 6 has remainder 3 so the 3rd number in the pattern is 8

8 is the answer

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(9^62773 + 2)^83721

(9^25+2)^83721

(9^7+2)^83721

(4782969+2)^83721

(45+2)^83721

(9+2)^83721

(11)^83721

(2)^83721

2^(21)

2^3

8

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If you use the distributive property, you get:

9^(62773 * 83721) + 2^83721

9 to any power gives a number with a digital sum of 9
2^83721 gives a number with a digital sum of 8

It seems (and this is a stretch) that any number with a digital sum of 9 added to any number with a digital sum of 8 gives an answer with a digital sum of 8.

I don't know if this is correct, but that's my 2 cents

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OMG that was where i was sort of heading dang i was actually close too man thx you just cleared up the rest of my steps for me

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The way I had originally done it came out wrong, but when I re-did it correctly I got the same answer as before. 8

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thx everyone for the help i'm glad we can all work together

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Seems we all concur that 8 is the answer.

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do you think its to late for the avatar?

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Seahawker I think you are right. We'll see next week! Smile

Thanks for the hint.

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NeoPets Riddles (Lenny Conundrums) and Answers Here

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