1628 60 Stars Astrology Season Essay Winter Holidays Special "What Are Perfect Numbers?" Part 2

60stars  Astrology Season  Essay

English  version

By TOKYO-TANUKI

 

1628　60 Stars Astrology　Season Essay　Winter Holidays Special　"What Are Perfect Numbers?" Part 2

1. Now, Wikipedia says perfect numbers are limited to integers, meaning they're effectively only even numbers, but Tanu-chan ignores this.

......Then,

The divisors of Φ² are Φ and 1,
so 1 + Φ + Φ² - Φ² = Φ².
The sum of its positive divisors excluding itself equals itself.

The divisors of 1 are only 1,
so 1 + 1 - 1 = 1.
Here too, the sum of the positive divisors excluding itself equals itself.



.....From Tanu-chan's perspective, perfect numbers include not only
6, 28, 496...,
but also Φ² and 1.



2. Some might think Tanu-chan's head is a bit off.

.....Well, I suppose you could put it that way, but Tanu-chan is just using delusional powers.

.....Look closely.

√√1 = 1
√(1 + (Φ - 1)) = √Φ
1 + (Φ - 1) + (Φ - 1) = 2Φ - 1 = √5

Or

1
1 + (1 + (Φ - 1))¹ = Φ²
1 + (1 + 2(Φ - 1))² = 6

Well, I don't know why, but that's how it is—the perfect number 6 is also 1 + (√5)².

For some reason, the (Φ−1) formula seems to appear here.
...Though the reason remains unclear.



3. So, what about 28?

The greatest divisor of 28 is 14, so it seems to break the pattern of (Φ−1) we saw earlier.

Starting with 6, the subsequent perfect numbers—6, 28, 496, 8128—alternate between ending in 6 and 28.

In other words,
the connection between 1, Φ, and √5 stops temporarily at 1, Φ², and 6.

Well, probably, the number 6 is some kind of intersection point!

So what's the difference between 6 and 28?

......This is a difficult question.

But I'll try my best to speculate!

That's all for today. 

To be continued next time.

May the world be at peace in 2026 too!

Tanu-chan💓　TOKYO-TANUKI💛