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armstrong number

 Apr 11, 2015

Best Answer 

 #1
avatar+354 
+10

An Armstrong number, aka a Narcissistic Number is a number where the digits in the number raised to the power of the number of digits in the number equals the original number. For example:

153

Since it is a 3 digit number, we raise 1, 5 and 3 to the power of 3.

$${{\mathtt{1}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{5}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{3}}}^{{\mathtt{3}}} = {\mathtt{153}}$$

 

1634

Since this is a 4 digit number, we raise 1, 6, 3 and 4 to the power 4.

$${{\mathtt{1}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{6}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{3}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{4}}}^{{\mathtt{4}}} = {\mathtt{1\,634}}$$

 Apr 11, 2015
 #1
avatar+354 
+10
Best Answer

An Armstrong number, aka a Narcissistic Number is a number where the digits in the number raised to the power of the number of digits in the number equals the original number. For example:

153

Since it is a 3 digit number, we raise 1, 5 and 3 to the power of 3.

$${{\mathtt{1}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{5}}}^{{\mathtt{3}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{3}}}^{{\mathtt{3}}} = {\mathtt{153}}$$

 

1634

Since this is a 4 digit number, we raise 1, 6, 3 and 4 to the power 4.

$${{\mathtt{1}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{6}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{3}}}^{{\mathtt{4}}}{\mathtt{\,\small\textbf+\,}}{{\mathtt{4}}}^{{\mathtt{4}}} = {\mathtt{1\,634}}$$

radio Apr 11, 2015
 #2
avatar+118677 
0

What is the use of doing that Radio ?

 Apr 11, 2015
 #3
avatar+354 
+5

I don't know 

 Apr 11, 2015
 #4
avatar+129852 
0

Pretty neat, radio....I've never heard of that......!!!!

 

  

 Apr 11, 2015

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