Waste less time on Facebook — follow Brilliant.
×

Munchausen Number

A Munchausen Number is a number that is equal to the sum of its digits each raised to a power equal to that digit. It is also called perfect digit-to-digit invariant (PDDI) because of its feature.1 is a Munchausen number. If we consider 0^0 as 0 there is a Munchausen number 438579088. But as 0 is undefined we can't consider this number. There is another Munchausen number besides 1. What is that?

Note by Jawwad Siddique
4 years, 6 months ago

No vote yet
5 votes

  Easy Math Editor

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold

- bulleted
- list

  • bulleted
  • list

1. numbered
2. list

  1. numbered
  2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1

paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
    # 4 spaces, and now they show
    # up as a code block.

    print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.
2 \times 3 \( 2 \times 3 \)
2^{34} \( 2^{34} \)
a_{i-1} \( a_{i-1} \)
\frac{2}{3} \( \frac{2}{3} \)
\sqrt{2} \( \sqrt{2} \)
\sum_{i=1}^3 \( \sum_{i=1}^3 \)
\sin \theta \( \sin \theta \)
\boxed{123} \( \boxed{123} \)

Comments

Sort by:

Top Newest

3435 learned it from Numberphile.

Bob Krueger - 4 years, 6 months ago

Log in to reply

3435

Tan Li Xuan - 4 years, 6 months ago

Log in to reply

3435 damn sure

Shourya Pandey - 4 years, 6 months ago

Log in to reply

can anyone give me an exact proof with logical reasoning how 0^0 is undefined?

Jawwad Siddique - 4 years, 6 months ago

Log in to reply

yes but I previously mentioned we can't take it as 0^0 is undefined

Jawwad Siddique - 4 years, 6 months ago

Log in to reply

exactly wolfram mathworld says there are four munchausen number....they are 0,1,3435,and 438579088.......If the definition (0^(0))=0 is adopted.....

Raja Metronetizen - 4 years, 6 months ago

Log in to reply

\(0^0\) is undefined, remember? Discussion

Aditya Parson - 4 years, 6 months ago

Log in to reply

but wolfram says if and only if (iff) it(i.e. 0^(0) ) is defined only then the number could be adopted as munchausen number...... i have gone through the discussion ,you mentioned,before many times ....thanxx....but see here....find the statement that i gave is in the last line.....hope you understand my source.....

Raja Metronetizen - 4 years, 6 months ago

Log in to reply

×

Problem Loading...

Note Loading...

Set Loading...