The number 32027
32027 is a twin prime (32027 and 32029 are both prime) and the 3435th prime number. Its only divisors are 1 and 32027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32027: a twin prime (32027 and 32029 are both prime); the 3435th prime number.
- 2
32027 is prime, so its only factors are 1 and 32027. It is the 3435th prime; the next prime is 32029 and the one before is 32009.
- 3
The divisors add up to 32028; without 32027 itself that is 1, so 32027 is deficient (1 is less than 32027). Euler's totient φ(32027) = 32026 numbers up to 32027 share no factor with it.
- 4
The digits of 32027 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 253 steps to reach 1.
32027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32028 |
| Euler totient φ(n) | 32026 |
| Square | 1025728729 |
| Cube | 32851014003683 |
| Square root | 178.960890 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 253 |
| Scientific notation | 3.2027 × |
32027 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand and twenty-seven |
| Binary (base 2) | 111110100011011 |
| Octal (base 8) | 76433 |
| Hexadecimal (base 16) | 7D1B |
| Base 3 | 1121221012 |
| As time | 32027 seconds = 8 h 53 min 47 s |
Is 32027 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32027 a prime number?
Yes. 32027 is divisible only by 1 and itself.
What are the factors of 32027?
1, 32027.
What is 32027 in binary?
111110100011011 (hexadecimal 7D1B, octal 76433).
What is the square root of 32027?
About 178.9609.
Is 32027 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 32027?
32027 is a twin prime (32027 and 32029 are both prime); the 3435th prime number.