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To Give a Chai
#1
Be forewarned: this thread probably has more utility than worth. Nevertheless ...

To give a Chai - Hebrew for LIFE - means to give a financial gift that is some multiple of !8 (dollars, shekels, latkes, whatever). It comes from the fact that Chai in Hebrew is חי where the yod has a numeric value of ten and the het has the numeric value of eight. It turns out that every even number with the digital root of 9 is a chai.

Huh?

Wikipedia describes digital root as follows:

Quote:The digital root (also repeated digital sum) of a non-negative integer is the (single digit) value obtained by an iterative process of summing digits, on each iteration using the result from the previous iteration to compute a digit sum. The process continues until a single-digit number is reached.

Still unclear? Let's take an example: the number 123456, so ... 1+2+3+4+5+6 = 21, and 2+4 = 3. Therefore, the digital root of 123456 is 3.

Is it a chai, i.e., a multiple of eighteen? No. Again, to be a chai it must be an even number with the digital root of 9. The number 123456 is, indeed, even, but we'll need to increase the digital root by six to achieve a chai. There are innumerable ways to do this. For example ...

1234566 = 68587 * 18
6123456 = 340192 * 18
13234536 = 735252 * 18
12345611112 = 685867284 * 18

... and so on. So how might this fun fact be used?

First, to answer the question: "Is it a Chai?" My wife and I recently flew UA FLT 1728 and I was delighted to realize that it was a chai. (Yep - I'm just that kind of guy.)

More often, however, I want to create a chai as a gift or donation. If, for example the number I have in mind is $250, I need only recognize its digital root of 7 and add 2, i.e., $252 = 14 * 18. Similarly, a $1000 wedding gift can be rounded up to $1008,

Big Grin L'chaim ...
To be is to stand for. - Abraham Joshua Heschel
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