36 (number) 36 (number) 36 (thirty-six) is the natural number following 35 and preceding 37. 36 is both the square of six and a triangular number, making it a square triangular number. It is the smallest square triangular number other than one, and it is also the only triangular number other than one whose square root is also a triangular number. It is also a circular number- a square number that ends with the same integer by itself (6×6=36). It is the smallest number "n" with exactly eight solutions to the equation φ("x") = "n". Being the smallest number with exactly nine
Integer square root theoretical advantages. One can prove that formula_30 is the largest possible number for which the stopping criterion ensures formula_32 in the algorithm above. In implementations which use number formats that cannot represent all rational numbers exactly (for example, floating point), a stopping constant less than one should be used to protect against roundoff errors. The traditional pen-and-paper algorithm for computing the square root formula_5 is based on working from higher digit places to lower, and as each new digit pick the largest that will still yield a square formula_34. If stopping after the one's place, the result computed will be