The number 32667
32667 is a composite number with 4 divisors. Its prime factorisation is 3 × 10889. Divisors (4): 1, 3, 10889, 32667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32667: a semiprime: 3 × 10889, the product of two primes.
- 2
32667 is composite. Its prime factorisation is
- 3
The divisors add up to 43560; without 32667 itself that is 10893, so 32667 is deficient (10893 is less than 32667). Euler's totient φ(32667) = 21776 numbers up to 32667 share no factor with it.
- 4
The digits of 32667 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32667 = 3 \times 10889 \]
32667 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 43560 |
| Euler totient φ(n) | 21776 |
| Square | 1067132889 |
| Cube | 34860030084963 |
| Square root | 180.740145 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2667 × |
32667 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand six hundred and sixty-seven |
| Binary (base 2) | 111111110011011 |
| Octal (base 8) | 77633 |
| Hexadecimal (base 16) | 7F9B |
| Base 3 | 1122210220 |
| As time | 32667 seconds = 9 h 4 min 27 s |
Is 32667 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 (32667 ÷ 3 = 10889) | 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 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 6) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32667 a prime number?
No. 32667 = 3 × 10889, so it is divisible by 3.
What are the factors of 32667?
1, 3, 10889, 32667.
What is 32667 in binary?
111111110011011 (hexadecimal 7F9B, octal 77633).
What is the square root of 32667?
About 180.7401.
Is 32667 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32667?
32667 is a semiprime: 3 × 10889, the product of two primes.