Question

The integer 145 has the curious property that 145 = 1! + 4! + 5!It is possible to prove mathematically that there is no integer greater than 200,000 with this property. There is only one whole number (integer) other than 1, 2, and 145 which has this property. Write a function, curious_property, which finds this number

Answer 1

MATLAB Script:

close all
clear
clc

curious_property()

function curious_property()
fprintf('Numbers with Curious Property:\n')
for i = 1:200000
list = []; % List for storing each digit of a number
x = i;
while true
list = [list, rem(x,10)]; % Keep storing the remainders (individual digits of a number)
if x < 10
break
end
x = floor(x/10);
end
if sum(factorial(list)) == i % Curious property
fprintf('\t%d\n', i)
end
end
end

Output:

Numbers with Curious Property:
   1
   2
   145
   40585