36 (NUMBER)

'36' ('thirty-six') is the natural number following 35 and preceding 37.

Cardinal	36 thirty-six
Ordinal	36th thirty-sixth
Factorization	$2^2cdot\; 3^2$
Divisors	1, 2, 3, 4, 6, 9, 12, 18, 36
Roman numeral	XXXVI
Binary	100100
Hexadecimal	24

Contents

In mathematics

Measurements

In science

Astronomy

In religion

In sport

Historical years

References

In mathematics

It is the square of 6 as well as a triangular number, making it a square triangular number, and also the only triangular number whose square root is also a triangular number. It is also a 13-gonal number.
36 is the smallest number ''n'' with exactly 8 solutions to the equation φ(''x'') = ''n''. Being the smallest number with exactly 9 divisors, 36 is a highly composite number. Adding up some subsets of its divisors (e.g., 6, 12 and 18) gives 36, hence 36 is a semiperfect number.
This number is the sum of a twin prime (17 + 19), and the sum of the cubes of the first three integers.
36 is the number of degrees in the angle of all 5 tips in a perfect star.
The thirty-six officers problem is a mathematical puzzle.
The number of possible outcomes (not summed) in the roll of two distinct dice.
36 is the largest numeric base that some computer systems support because it exhausts the numerals, 0–9, and the letters, A–Z.
The truncated cube and the truncated octahedron are Archimedean solids with 36 edges.
In base 10, it is a Harshad number.
The number of domino tilings of a 4×4 checkerboard is 36.

Measurements

★ The number of inches in a yard.

★ In the UK, a standard beer barrel is 36 UK gallons, about 163.7 litres.

In science

★ The atomic number of krypton ^[1]

★ Many early computers featured a 36-bit word length

★ ASCII code for the symbol '$'

Astronomy

★ Messier object M36, a magnitude 6.5 open cluster in the constellation Auriga

★ The New General Catalogue object NGC 36, a spiral galaxy in the constellation Pisces

In religion

★ According to Jewish tradition, in every generation there are 36 righteous people (the ''"Lamed Vav Tzadikim"'') in whose merit the world continues to exist. The Wonderful World of Thirty-six, Pinchas Winston, , , Mercava Productions, 1995,

★ According to the Midrash, the light created by God on the First Day of Creation shone for exactly 36 hours; it was replaced by the light of the Sun that was created on the Fourth Day.

★ Altogether, 36 candles are kindled in the Hanukkah menorah over the 8 days of that holiday (not including the ''shamash'' candle).

★ The Torah commands 36 times to love, respect and protect the stranger.
In one Māori legend, concerning the creation of mankind by the god Tāne, 36 gods took active part in assembling the various parts of the first human before Tāne breathed life into her.^[2]

In sport

★ Australian Basketball team The Adelaide 36ers.^[3]

★ Retired number of former baseball players Robin Roberts^[4] of the Phillies and Gaylord Perry^[5] of the Giants.

★ Retired number of former basketball player Lloyd Neal of the Portland Trail Blazers

★ The jersey number of retired Pittsburgh Steeler Jerome Bettis.

★ Jeremy Mayfield's Nextel Cup number for Bill Davis Racing

★ The number of points-paying races run in NASCAR's primere series, the Nextel Cup.

★ Retired number of Manchester United Jimmy Davis

Historical years

'36 A.D.', 36 B.C., 1936, 2036, etc.

References

1. WebElements.com – Krypton
2. Self Guided Tour Map
3. Adelaide 36ers Homepage
4. Robin Roberts player Profile Chronology
5. Giants Retire Perry's Number 36