ZCubes/Narcissistic Numbers

From ZCubes Wiki
Jump to navigation Jump to search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

Narcissistic Numbers


Narcissistic numbers are numbers which you obtain when you take sum of the power of each digit to the length of the number, you get the number itself. For example the number 153 is equal to 1^3+5^3+3^3. Can you find out other such numbers? In this video you can understand how you can use Z to easily find out such numbers.

Video


Narcissistic Numbers














Code-Narcissistic Numbers

 function narcissistic(n)
 {
   var d=DIGITS(n)
   var k=d.length;
   return(SUM(d.$(x=>x^k))==n)
 }
narcissistic#;
nums=1..1000;
nums.pick(narcissistic(nums))
//narcissistic(152)
//3^3+7^3+0^3





© Copyright 1996-2021, ZCubes, Inc.