The number 32001
32001 is a composite number with 4 divisors. Its prime factorisation is 3 × 10667. Divisors (4): 1, 3, 10667, 32001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32001: a semiprime: 3 × 10667, the product of two primes.
- 2
32001 is composite. Its prime factorisation is
- 3
The divisors add up to 42672; without 32001 itself that is 10671, so 32001 is deficient (10671 is less than 32001). Euler's totient φ(32001) = 21332 numbers up to 32001 share no factor with it.
- 4
The digits of 32001 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32001 = 3 \times 10667 \]
32001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 42672 |
| Euler totient φ(n) | 21332 |
| Square | 1024064001 |
| Cube | 32771072096001 |
| Square root | 178.888233 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2001 × |
32001 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and one |
| Binary (base 2) | 111110100000001 |
| Octal (base 8) | 76401 |
| Hexadecimal (base 16) | 7D01 |
| Base 3 | 1121220020 |
| As time | 32001 seconds = 8 h 53 min 21 s |
Is 32001 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 (32001 ÷ 3 = 10667) | 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 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 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32001 a prime number?
No. 32001 = 3 × 10667, so it is divisible by 3.
What are the factors of 32001?
1, 3, 10667, 32001.
What is 32001 in binary?
111110100000001 (hexadecimal 7D01, octal 76401).
What is the square root of 32001?
About 178.8882.
Is 32001 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 32001?
32001 is a semiprime: 3 × 10667, the product of two primes.