A 'Perfect' Day
I have just discovered that the 28th June or June 28th, as is preferred on the other side of the Atlantic, is the only date with perfect numbers, 6 and 28. What is a perfect number? Well, it is an interger which is the sum of its proper positive divisors. [That sounds very erudite, but I copied it!]
Six is the first perfect number because it can be divided by 1, 2 and 3. Add them up and 1+2+3=6. Twenty-eight happens to be the next perfect number because it can be divided by 1, 2, 4, 7 and 14. Just as before, 1+2+4+7+14=28. After 6 and 28 comes a perfect 496, 8128, 33550336 and 8589869056. I wonder if anyone noticed on June 28th in the year 496? So the next extra special June 28th will be in the year 8128. Too bad I won't be here to celebrate it!
If you are interested in the mysteries of Egyptian Fractions, or you want to know how to drive your maths teacher nuts, visit Dr. Stuart Savory's Blog.