Perfect Numbers are Attached to People and Civilization in Surprising Ways. First, what are perfect numbers? In number theory, a **perfect number** is a positive integer. It is equal to the sum of its proper positive divisors. Of course, that excludes the number itself. Look below. The 1st four perfect numbers are 6, 28, 496, and 8128. Euclid knew of these numbers. He generated the formula.

Euclid proved that 2^{p−1}(2^{p} − 1) is an even perfect number whenever 2^{p} − 1 is prime (Euclid, Prop. IX.36).

For example, the first four perfect numbers are generated by the formula 2^{p−1}(2^{p} − 1), with *p* a prime number, as follows:

- for
*p*= 2: 2^{1}(2^{2}− 1) = 6 - for
*p*= 3: 2^{2}(2^{3}− 1) = 28 - for
*p*= 5: 2^{4}(2^{5}− 1) = 496 - for
*p*= 7: 2^{6}(2^{7}− 1) = 8128. - Perfect numbers become incredibly high quite quickly. The point is they are quite sparse in the number scheme. The first three (6,28 and 496) make surprising appearances. Let’s begin with number 28.

### Perfect Numbers Explain the Use of the Lunar Calendar

**27 days**, 7 hours, and 43 minutes for our Moon to complete one full orbit around Earth. This is called the sidereal month. It is measured by our Moon’s position relative to distant “fixed” stars. However, about

**29.5 days**to complete one cycle from new Moon to new Moon. The average of the two lunar cycles is about 28 days. The solar days of the year are not a perfect number. Human hands we have a perfect 28 total. Explained in the picture below.

### The 10th Emanation on the Tree of Life Uses 496

In Hebrew letters doubled as numbers. The doubling of letters and numbers is still called by the Greek name, gematria. The Tree of Life has 10 emanations. They are represented by 10 circles. The 10th is called Makuth. This translates to “Kingdom.” Malkuth has a gematria of 496. By using this 3rd perfect number (496), the intent is that our Creator sought perfection in Creation. This word is used throughout the Bible.

### Strong’s Hebrew: 4438. מַלְכוּת (malkuth) — royalty, royal power, reign …