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# Numbers Over 2020: Properties and Meanings

### Number 4900

The only numbers which are simultaneously square and square pyramidal are

1 and

**4900**.

### Number 5400

In

*Laws*, Plato suggests that

**5040** is the optimal number of citizens in a state because:

1. It is the product of

12,

20, and

21.

2. The

12th part of it can still be divided by

12.

3. It has

59 proper divisors, including all numbers for

1 to

12 except

11, and

**5038**--which is very close to

**5040**--is divisible by

11
1 x

2 x

3 x

4 x

5 x

6 x

7 =

**5040**
7 x

8 x

9 x

10 =

**5040**
### Number 84000

The illnesses of the mind arise from the three poisons of greed, anger and stupidity and are of

**eighty-four thousand** kinds.

### Number 432000

Some cultures measure time in terms of very long cycles. In the Hindu tradition the present cycle of time consists of

**432000** years. This is called the "Kali Yuga". The great cycle in which the Kali Yuga falls consists of

**4,320,000** years.

According to the Satapatha Brahmana, the number of syllables in the Rigveda is

**432,000**, equalling the number of muhurtas (

1 day =

30 muhurtas) in

forty years.

The Icelandic tradition tells of the great warrior hall in which there were

540 doors. Through each door there would come

800 divine warriors:

800 x

540 =

**432000** warriors.

### Number 12960000

The positive integers

216 and

**12960000** appear in an obscure passage in Plato's

*The Republic*. In this passage, Plato alludes to the fact that

216 is equal to 6 cubed, where 6 is one of the numbers representing marriage since it is the product to the female 2 and the male 3. Plato was also aware of the fact the sum of the cubes of the

3-

4-

5 Pythagorean triple is equal to

216).