lgbasallote
  • lgbasallote
hmmm..seems i found an interesting math problem: 3,435 = 3^3 + 4^4 + 3^3 + 5^5 That is, it equals the sum of its digits each raised to that digit's power. Find the next larger number with the same property. For this problem, use the convention that (0)^(0) = 0.
Mathematics
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
You probably mean \(3435 = 3^3 + 4^4 + 3^3 + 5^5 \). Then is is known as PPDI.
anonymous
  • anonymous
Oops wrong term.
anonymous
  • anonymous
I knew this give me a mint.

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lgbasallote
  • lgbasallote
okayyy :DDD
anonymous
  • anonymous
Perfect digit-to-digit invariant http://en.wikipedia.org/wiki/Perfect_digit-to-digit_invariant
lgbasallote
  • lgbasallote
ohh so the PDDI
anonymous
  • anonymous
Indeed.
anonymous
  • anonymous
Aha yes it's PDDI and the answer you are seeking is \(438579088 = 4^4 + 3^3 + 8^8 +5^5 + 7^7 + 9^9 + 0^0 + 8^8 + 8^8 \)
lgbasallote
  • lgbasallote
wow o.O how do you do it...
anonymous
  • anonymous
Its's also called Munchausen Number. I was trying to remember this term only.
lgbasallote
  • lgbasallote
hmm munchausen..is it somehow related to a muchausen syndrome that a patient copies other people to gain attention?
anonymous
  • anonymous
Lol, I have no idea.
anonymous
  • anonymous
Yes, a PDDI number is called a narcissistic number.
anonymous
  • anonymous
@eashmore: a PDDI number is NOT called a narcissistic number.
anonymous
  • anonymous
PPDI is a narcissistic or Armstrong number
anonymous
  • anonymous
Are you sure? http://www.magic-squares.net/narciss.htm
anonymous
  • anonymous
Pretty much http://en.wikipedia.org/wiki/Narcissistic_number http://mathworld.wolfram.com/NarcissisticNumber.html
anonymous
  • anonymous
I stand corrected. It seems that the citations on the wikipedia page for PDDI lied to me!
anonymous
  • anonymous
Wow, nice work everyone. @lgbasallote @eashmore @FoolForMath - I'll be honest, this is way above me, but I can still respect it ;)

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