Is 2877290 a happy number?

A happy number is any positive integer where if you progressively add the square of its digits and produce new numbers, and then repeat, you get 1. Other numbers are unhappy.  Let’s try it for 2877290:

For 2877290, the sum of the digits squared is:
4 + 64 + 49 + 49 + 4 + 81 = 251 (thanks for Katrina for pointing out my maths mistake!!!)
Repeat for 251: 4 + 25 + 1 = 30
Repeating for 30 gives: 9 + 0 = 9
And so on, until it gets into an endless cycle. Therefore, 2877290 is not a happy number!!

You may think me completely insane, but it is true. Look it up. http://en.wikipedia.org/wiki/Happy_number

The Mahon Tribunal will not be finished until it has thoroughly uncovered the full mathematical truth behind the deposit of £28,772.90 into Celia’s account. It is certainly an unhappy number for Bertie.

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7 Comments

  1. Katrina said,

    October 2, 2007 at 11:00 pm

    I believe the square of second digit (8) is wrong, shouldn’t it be 64?

  2. Katrina said,

    October 2, 2007 at 11:03 pm

    Also isn’t the square of 3 in the number 203, 9?

  3. Katrina said,

    October 2, 2007 at 11:11 pm

    2877290
    4+64+49+49+4+81= 251

    Repeat for 251
    4+25+1=30

    Repeat for 30
    9+0=9
    Not a happy number.

  4. shazgood said,

    October 2, 2007 at 11:31 pm

    Katrina, you are perfectly right, I cannot square simple numbers. I should go back to school!
    It is of course an unhappy number…
    I have to go back to my day job!

  5. Katrina said,

    October 2, 2007 at 11:55 pm

    Thank you, we all have good day and some times bad days. :O)

  6. David Levine said,

    October 3, 2007 at 3:34 am

    I am totally baffled by this post.

    Dammit!

  7. shazgood said,

    October 3, 2007 at 4:20 pm

    David, it is no surprise you are baffled, I meant it that way.

    Here is the straight-forward explanation:
    Our glorious leader, one B. Ahern, is undergoing investigations by a tribunal into his financial affairs around the 1994 period. One of the mysteries to come out were that his then girlfriend, Celia Larkin, lodged £28,772.90 Irish punts (as we didn’t use Euros back then…) into her account, that Bertie claims was actually sterling originally. However, no one, including the bank has a record of that amount of sterling being deposited with them on that day. But the tribunal discovered that it amounted to exactly $45,000, if using one of the foreign exchange rates of the day, but cannot prove it was dollars either. Hence, we have been subjected to weeks and weeks of ludicrous and insane number crunching by lawyers, witnessess, and Bertie himself. All to no avail.
    Hence, my posting…an attempt at satire.


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