Thirty-six

The title of this article is ambiguous. Additional meanings are listed under Thirty-Six (disambiguation) .

The thirty-six (36) is the natural number between thirty-five and thirty -seven . She is straight .

Thirty-six
36
presentation
Roman	XXXVI
dual	10 0100
Octal	44
Duodecimal	30th
Hexadecimal	24
Morse code	· · · - - - · · · ·
Mathematical properties
sign	positive
parity	straight
Divider	1, 2, 3, 4, 6, 9, 12, 18, 36

mathematics

36 is both the square number of 6 and a triangle number , this makes it a square triangle number. It is the smallest square triangular number after one and, next to one, the only triangular number whose square root is also a triangular number. In addition, 36 is an automorphic number ( 6 ² = 3 6) .

It is the smallest number with exactly eight solutions to the equation (see Euler's Phi function ). Since 36 is the smallest number with exactly nine factors , it belongs to the highly composite numbers . By adding some of its subsets divider (z. B. 6, 12 and 18) you get 36, so it is a pseudo-perfect number . ${\displaystyle n}$ ${\displaystyle \Phi (x)=n}$

36 is the sum of a prime twin ( ), the sum of the first three natural numbers to the third power ( ) and also the product of the squares of the first three natural numbers ( ). ${\displaystyle 17+19=36}$ ${\displaystyle 1^{3}+2^{3}+3^{3}=36}$ ${\displaystyle 1^{2}\cdot 2^{2}\cdot 3^{2}=36}$

The sum of the natural numbers from 1 to 36 is 666 .

chemistry

36 is the atomic number of krypton .

Individual evidence

1. ↑ A001110 - OEIS. Retrieved April 2, 2020 . 
2. ↑ A002182 - OEIS. Retrieved April 2, 2020 . 
3. ↑ A005835 - OEIS. Retrieved April 2, 2020 .