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
Square root of a matrix formulas that give up to four square roots, if the matrix has any roots. If is a diagonal "n" × "n" matrix, one can obtain a square root by taking a diagonal matrix , where each element along the diagonal is a square root of the corresponding element of . If the diagonal elements of "D" are real and non-negative, and the square roots are taken with non-negative sign, the matrix will be the principal root of . If a matrix is idempotent, one of its square roots is the matrix itself. An "n" × "n" matrix is diagonalizable if