Happy Numbers

A Maths Starter of The Day

Some numbers are happy and others are not!

To find out whether a number is happy square each of its digits, add the answers and repeat. If you end up with 1 the number is happy!

E.g. Consider 19

12 + 92 = 82
82 + 22 = 68
62 + 82 = 100
12 + 02 + 02 = 1 which means that 19 is a happy number.

How many other happy numbers can you find?

 

 

 

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C R Walters, Drayton School Oxfordshire
Thursday, January 25, 2007

 

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Transum,
Sunday, January 28, 2007

 

"In the Doctor Who episode "42", a sequence of happy prime numbers is used as a code for unlocking a sealed door on a spaceship falling into a star, namely 313, 331, 367 and 379."

Wikipedia,
Wednesday, August 01, 2007

 

"One of my class wants to know if decimal numbers count. 0.1 should be ok but your tester can't cope!"

Miss Irons, Blean, Kent
Thursday, January 31, 2008

 

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This starter has scored a mean of 3.8 out of 5 based on 26 votes.
 

  

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Answers

1, 7, 10, 13, 19, 23, 28, 31, 32, 44, 49, 68, 70, 79, 82, 86, 91, 94, 97, 100, 103, 109, 129, 130, 133, 139, 167, 176, 188, 190, 192, 193, 203, 208, 219, 226, 230, 236, 239, 262, 263, 280, 291, 293, 301, 302, 310, 313, 319, 320, 326, 329, 331, 338, 356, 362, 365, 367, 368, 376, 379, 383, 386, 391, 392, 397, 404, 409, 440, 446, 464, 469, 478, 487, 490, 496... and there are many many more!