Learn Happy & Sad Number
What do you mean by Happy Unhappy Number?
An online happy unhappy number definition
What is Happy Number ?
If the input number is a single digit,
square it (multiply it by itself).
If the result or the original number has multiple digits, take each digit by itself and square the digit(multiply it by itself).
Repeat until you get to the number 1.
What is Sad Number ?
If the input number is a single digit,
square it (multiply it by itself).
If the result or the original number has multiple digits, take each digit by itself and square the digit (multiply it by itself).
Repeat until you get to the number 1.If number will never resolve to 1. Then, those numbers will never be happy.
In fact, the numbers will repeat this cycle forever. Thats sad.
Example for Happy Number
1 times itself (1 x 1) equals 1 and is, therefore, a happy number.
Example for Unhappy Number
2 times itself (2 x 2) equals 4.
4 squared (4 x 4) is 16 which, when split,
becomes (1 x 1) + (6 x 6) or 1 + 36 equals 37.
37 split up becomes (3 x 3) + (7 x 7)
(or)
9 + 49 equals 58. 58 split up and so on, finally the result number will never resolve to 1, therrefore, a unhappy or Sad number
List of First 100 Happy Numbers
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, 536, 556, 563, 565, 566, 608, 617, 622, 623, 632, 635, 637, 638, 644, 649, 653, 655, 656, 665, 671, 673, 680, 683, 694, 700, 709, 716, 736, 739, 748, 761, 763, 784, 790, 793, 802, 806, 818, 820, 833, 836, 847, 860, 863, 874, 881, 888, 899, 901, 904, 907, 910, 912, 913, 921, 923, 931, 932, 937, 940, 946, 964, 970, 973, 989, 998, 1000
Related Number Types
- Integer
- Whole Number
- Digit
- Natural Number
- Odd Number
- Even Number
- Rational Number
- Irrational Number
- Transcendental Number
- Real Number
- Nominal Number
- Ordinal Number
- Arrangement Number
- Abundant Number
- Algebraic Number
- Automorphic Number
- Apocalypsec Number
- Amicable Number
- Aliquot Number
- Almost Perfect Number
- Alphametic Number
- Binary Number
- Catalan Number
- Circular Primes Number
- Complex Number
- Cyclic Number
- Cubic Number
- Congruent Number
- Cardinal Number
- Choice Number
- Composite Number
- Counting Number
- Fibonacci Number
- Fraction