27000

A milestone reached. My diurnal age today is 27000 which is the cube of the primorial 30 = 2 x 3 x 5, a sphenic number and thus representable as the sphenic brick shown in Figure 1.

Figure 1

This brick with its volume of 30 cubic units is symbolic of a month of 30 days. If these bricks are positioned to form a base of 15 blocks x 2 by 10 blocks x 3 and then stacked 6 high, a cube of side 30 units is formed. These 900 blocks can be seen as symbolic of 900 months of life.

Of course there being 12 months in a year, these 900 months are equivalent to 75 years and I'm yet to reach my 74th birthday. This is because 12 x 30 = 360 and there are on average 365.425 days in a year. There is an excess of 5.425 which, over the course of 73.92 years, amounts to 401 days. Thus the discrepancy which, in keeping with the notion of bricks, could be envisaged as the mortar between the bricks.

Suffice to say that these bricks would form an impressive structure, although they are not in the same proportions as the standard brick shown in Figure 2. The mortar between bricks normally has a width of 10 mm.

Figure 2

I asked ChatGPT the following question:

I'm looking for interesting things to say about the number 27000. The things of interest could be mathematical but not necessarily so. Anything of interest whether it be historical, scientific, numerological or whatever is acceptable.

This was its response:

Sure, here are some interesting things to say about the number 27000:

• 27000 is a perfect cube number. It can be written as 30³, which means that it is the product of three 30s multiplied together.
  
  
• In geometry, 27000 is the number of degrees in a 150-sided polygon (also called a hecatoicosagon).
  
  
• The number 27000 has a total of 27 factors, including 1 and itself. This means that it has a lot of divisors, which makes it a useful number in many mathematical contexts.
  
  
• In Hinduism, there is a sacred text called the Mahabharata, which is said to have around 27,000 verses.
  
  
• In astronomy, 27000 is roughly the number of light years that the Solar System travels around the center of the Milky Way galaxy in one orbit.
  
  
• The number 27000 is often used as a benchmark in statistical analysis, particularly in studies involving large datasets. This is because it represents a sufficiently large sample size to generate meaningful results.
  
  
• In the sport of sumo wrestling, 27,000 is the minimum number of spectators that must be in attendance for a tournament to be considered a "sell-out."
  
  
• The year 27000 AD is often cited as a possible time frame for the next Ice Age, based on current climate models.
  
  
• The binary representation of 27000 is 110100100101000, which consists of 15 digits. In binary code, this number can be used to represent various commands or functions.
  
  
• According to numerology, the number 27000 represents balance, harmony, and spiritual enlightenment. It is said to be a powerful number for meditation and personal growth.

Referring to the above points, 27000 does not have 27 factors. It has three distinct prime factors, nine prime factors with multiplicity and 64 divisors. Similarly the binary representation of 27000 is wrong. Correct is 110100101111000, although the stated number of binary digits is correct. One needs to remember to take anything ChatGPT says with a grain of salt when it comes to mathematics. 

I thought I'd pick ChatGPT's brain further and asked:

What examples are there from literature concerning the number 27000?

• There are several examples in literature that mention the number 27000. Here are a few:
  
  
• In the Hindu epic Mahabharata, there is a reference to an army of 27,000 soldiers that was sent by the Kauravas to capture the Pandavas.
  
  
• In Dante Alighieri's "Divine Comedy," the number 27 is significant as it represents the nine levels of heaven, each with three spheres, making a total of 27.
  
  
• In the book "The Bible Code," written by Michael Drosnin, the number 27000 is said to appear in a code in the Book of Exodus that predicts a future nuclear war.
  
  
• In J.R.R. Tolkien's "The Lord of the Rings," the number 27000 is mentioned in the context of the army of Rohirrim, which consists of 18,000 riders and 9,000 infantry.
  
  
• In the book "The Magic Mountain" by Thomas Mann, the number 27000 is used to describe the number of days that the main character, Hans Castorp, spends in a tuberculosis sanatorium.
  
  
• In the book "The Teachings of Don Juan" by Carlos Castaneda, the number 27000 is used to describe the number of days that the author spent learning from a Yaqui Indian shaman.
  
  
• Overall, the number 27000 appears to have different symbolic meanings in different works of literature, ranging from military might to spiritual significance to the passage of time.
  

Some of these statistics seem unlikely. The main character in Thomas Mann's book would have spent almost 74 years in the sanatorium and likewise for the Yaqui Indian apprenticeship. I'm not going to check which facts are correct and which are not.

I last celebrated a cubic number day when I turned 24389 (29 cubed) days old on Monday, the 11th January 2016. I'll next celebrate (if I'm around) on Saturday, 26th October 26th 2030 when I turn 29791 (31 cubed) days old.