The number 42229
42229 is a composite number with 6 divisors. Its prime factorisation is Ć 349. Divisors (6): 1, 11, 121, 349, 3839, 42229.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42229: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42229 is composite. Its prime factorisation is
- 3
The divisors add up to 46550; without 42229 itself that is 4321, so 42229 is deficient (4321 is less than 42229). Euler's totient Ļ(42229) = 38280 numbers up to 42229 share no factor with it.
- 4
The digits of 42229 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42229 = 11^{2} \times 349 \]42229 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 46550 |
| Euler totient Ļ(n) | 38280 |
| Square | 1783288441 |
| Cube | 75306487574989 |
| Square root | 205.496959 (= 11ā349) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2229 Ć |
42229 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and twenty-nine |
| Binary (base 2) | 1010010011110101 |
| Octal (base 8) | 122365 |
| Hexadecimal (base 16) | A4F5 |
| Base 3 | 2010221001 |
| As time | 42229 seconds = 11 h 43 min 49 s |
Is 42229 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (42229 Ć· 11 = 3839) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42229 a prime number?
No. 42229 = Ć 349, so it is divisible by 11.
What are the factors of 42229?
1, 11, 121, 349, 3839, 42229.
What is 42229 in binary?
1010010011110101 (hexadecimal A4F5, octal 122365).
What is the square root of 42229?
About 205.4970, exactly 11ā349.
Is 42229 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42229?
42229 is a happy number: repeatedly adding the squares of its digits reaches 1.