The number 32227
32227 is a composite number with 8 divisors. Its prime factorisation is 13 × 37 × 67. Divisors (8): 1, 13, 37, 67, 481, 871, 2479, 32227.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32227: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32227 is composite. Its prime factorisation is
- 3
The divisors add up to 36176; without 32227 itself that is 3949, so 32227 is deficient (3949 is less than 32227). Euler's totient φ(32227) = 28512 numbers up to 32227 share no factor with it.
- 4
The digits of 32227 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32227 = 13 \times 37 \times 67 \]
32227 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36176 |
| Euler totient φ(n) | 28512 |
| Square | 1038579529 |
| Cube | 33470302481083 |
| Square root | 179.518801 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 72 |
| Scientific notation | 3.2227 × |
32227 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and twenty-seven |
| Binary (base 2) | 111110111100011 |
| Octal (base 8) | 76743 |
| Hexadecimal (base 16) | 7DE3 |
| Base 3 | 1122012121 |
| As time | 32227 seconds = 8 h 57 min 7 s |
Is 32227 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32227 a prime number?
No. 32227 = 13 × 37 × 67, so it is divisible by 13.
What are the factors of 32227?
1, 13, 37, 67, 481, 871, 2479, 32227.
What is 32227 in binary?
111110111100011 (hexadecimal 7DE3, octal 76743).
What is the square root of 32227?
About 179.5188.
Is 32227 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 32227?
32227 is a happy number: repeatedly adding the squares of its digits reaches 1.