Automorphic number using MATLAB

Automorphic Number in MATLAB:

Definition:



An automorphic number (sometimes referred to as a circular number) is a number whose square "ends" in the same digits as the number itself. For example, 5^2 = 25, 6^2 = 36, 76^2 = 5776, 376^2 = 141376,and 890625^2 = 793212890625, so 5, 6, 76, 376 and 890625 are all automorphic numbers.

Code to check whether a number is automorphic number or not:

x=input('Enter the number');

y=x*x;

m=y;

Y=[];

Z=[];

while m>0

    b=rem(m,10);

    Y=[Y b];

    m=(m-b)/10;

end

n=x;

while n>0

    b=rem(n,10);

    Z=[Z b];

    n=(n-b)/10;

end

t=0;

for i=1:length(Z)

    if(Y(i)~=Z(i))

       t=t+1;

    end

end

if(t==0)

    disp('Yes, the number is Automorphic number');

else

    disp('No, the number is not Automorphic number');

end

Explanation of the code:

Code to print all the automorphic number from 1 upto an input number in MATLAB:

g=input('Enter the number');

A=[];

for x=1:g

y=x*x;

m=y;

Y=[];

Z=[];

while m>0

    b=rem(m,10);

    Y=[Y b];

    m=(m-b)/10;

end

n=x;

while n>0

    b=rem(n,10);

    Z=[Z b];

    n=(n-b)/10;

end

t=0;

for i=1:length(Z)

    if(Y(i)~=Z(i))

       t=t+1;

    end

end

if(t==0)

   A=[A x];

end

end

Reference video :

Algorithm to extract digits from a number in matlab: