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algorithm is all about sex
Any number that can be written as a fraction (with a non-zero denominator) is a rational number; in decimal format it will either terminate (possibly with no digits after the decimal point, ie an integer) or end in a repeating sequence of digits. Any number which cannot be written as a fraction (one integer over another) is an irrational number. If I understand your question correctly: A number written as a fraction with a denominator which does not equal zero can be any of a terminating decimal, a recurring decimal or an integer - they are all possible.
Well, 47 49 51 53 are four consecutive odd numbers those total squared has for identical digits. 40000.... The square root of any number that is only four digits long all containing the same digit has a value that is not an integer.
All five digits in the number are significant.
No integer is an irrational number; all integers are rational.