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I “discovered” the following when I began fooling around in my head with the numbers on my digital clock. Pretty simple, really: 12:45, for example can be added this way - 1+2+4+5= 12. Now, add the 1+2 and get 3. (Remember the 3 because you’ll see it again.) Now add 12:45 another way. 12+45=57 and 5+7=12 and 1+2=3 - again. Now try 24+15=39 and we’re back to the 12 and 3 again. You can do 124+5=129=12=3 again. No matter how you mix these four numbers up, add them together and then add the sums down to a single digit, you always wind up with 3. This works for huge numbers as well as small ones. If you create a random assortment of numbers - for example, 4739251683902165 and add them together sequentially you get 71. 7+1=8. If you divide them into more than one grouping to add together, each of those groupings will produce a different final number but, when added togrther, those final numbers will equal 8. For example 4739+2165=6904 and 6+9+0+4=19 and 1+9=10 and 1+0=1. Now add the other two groups together - 2,516+8,390=10,906. 1+0+9+0+6=16 and 1+6=7. Add the 1 from the first grouping to the 7 from the second grouping and you’re back to another 8. I’m certain there is a name for this seemingly odd occurrence and a reason it should be. Does anyone know where I might find some information about it? Thank you.

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