2006-11-26 00:54:01 · 7 answers · asked by Anonymous in Education & Reference ➔ Other - Education
happy numbers 7, 8 and 11
sad numbers - 13
2006-11-26 00:56:43 · answer #1 · answered by ? 7 · 0⤊ 0⤋
A happy number is any number that eventually reduces to 1 when the following process is used: take the sum of the squares of its digits, and continue iterating this process until it yields 1, or produces an infinite loop........Some HAPPY numbers are: 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, .... and they continue on.
Numbers that are not happy are called unhappy numbers.
If a number is happy, then all members of its sequence are happy; if a number is unhappy, all members of its sequence are unhappy.
2006-11-26 01:13:04 · answer #2 · answered by Anonymous · 1⤊ 0⤋
To decide whether a number is happy or sad, find the sum of the squares of its digits. If when you repeat the process you eventually reach 1, you have found a happy number. For example, 19 is happy because it produces:
19 82 68 100 1
Sad numbers, such as 12, lead to a recurring cycle of numbers.
12, 5, 25, 29, 85, 89, 145, 42, 20, 4, 16, 37, 58, 89, 145, 42,…
2006-11-26 01:01:36 · answer #3 · answered by ? 1 · 0⤊ 0⤋
Happy
2016-03-29 09:22:45 · answer #4 · answered by Anonymous · 0⤊ 0⤋
Get a book call "Kero's Book Of Numbers".
May find, in your library, on Internet, on E-Bay,on Amazon .com
2006-11-26 02:30:28 · answer #5 · answered by minootoo 7 · 0⤊ 0⤋
Happy numbers are all other than 13 only.
beacuse 1,3,5,7 ,9 etc ie.odd one are happy one is happy if he/she is single .
similarly 2,4,6,8 etc.are happy beacause pair is always welcomed .
Old saying is that 13 is unlucky.
2006-11-26 01:19:46 · answer #6 · answered by golu 1 · 0⤊ 0⤋
Happy is #1...sad is all the rest.
2006-11-26 00:57:06 · answer #7 · answered by Edward J 3 · 0⤊ 0⤋