The number 32331
32331 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 829. Divisors (8): 1, 3, 13, 39, 829, 2487, 10777, 32331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32331: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32331 is composite. Its prime factorisation is
- 3
The divisors add up to 46480; without 32331 itself that is 14149, so 32331 is deficient (14149 is less than 32331). Euler's totient φ(32331) = 19872 numbers up to 32331 share no factor with it.
- 4
The digits of 32331 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32331 = 3 \times 13 \times 829 \]
32331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46480 |
| Euler totient φ(n) | 19872 |
| Square | 1045293561 |
| Cube | 33795386120691 |
| Square root | 179.808231 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2331 × |
32331 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and thirty-one |
| Binary (base 2) | 111111001001011 |
| Octal (base 8) | 77113 |
| Hexadecimal (base 16) | 7E4B |
| Base 3 | 1122100110 |
| As time | 32331 seconds = 8 h 58 min 51 s |
Is 32331 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 | Yes (32331 ÷ 3 = 10777) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32331 a prime number?
No. 32331 = 3 × 13 × 829, so it is divisible by 3.
What are the factors of 32331?
1, 3, 13, 39, 829, 2487, 10777, 32331.
What is 32331 in binary?
111111001001011 (hexadecimal 7E4B, octal 77113).
What is the square root of 32331?
About 179.8082.
Is 32331 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 32331?
32331 is a happy number: repeatedly adding the squares of its digits reaches 1.