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35 36 37

# The Number 36: Properties and Meanings

Prime Factors of 36=2x2x3x3.

36 can be Partitioned 17977 ways.

36 can be Partitioned 19 times with each term no larger than 2.

36 can be Partitioned 127 times with each term no larger than 3.

36 can be Partitioned 478 times with each term no larger than 4.

36 can be Partitioned 1226 times with each term no larger than 5.

36 is a Triangular Number.

36 is a Square Number(6x6).

36 is the smallest number (other than 1) which is both square and triangular.

36 is the smallest integer which can be expressed as the sum of consecutive primes in 2 ways. These are:5 + 7 + 11 + 13 and 17 + 19.

36 is an Abundant Number.

36 is a 13-gonal Number.

36 space groups are Isometric.

The Truncated Cube is an Archimedean Solid with 36 Edges.

A Truncated Octahedron is an Archimedean Solid with 36 Edges.

The Chemical Element Krypton has an atomic number of 36.

Of the 117 scales of Chinese Dragons 36 are yang and malign.

### The Year 36 AD

In the year 36 AD Emperor Kuang Wu Ti of China defeated the last of the warlords and reunited the country.

35 36 37
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