The number 3271
3271 is the 462nd prime number. Its only divisors are 1 and 3271.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3271: the 462nd prime number.
- 2
3271 is prime, so its only factors are 1 and 3271. It is the 462nd prime; the next prime is 3299 and the one before is 3259.
- 3
The divisors add up to 3272; without 3271 itself that is 1, so 3271 is deficient (1 is less than 3271). Euler's totient φ(3271) = 3270 numbers up to 3271 share no factor with it.
- 4
The digits of 3271 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
3271 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3272 |
| Euler totient φ(n) | 3270 |
| Square | 10699441 |
| Cube | 34997871511 |
| Square root | 57.192657 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 136 |
| Scientific notation | 3.271 × |
3271 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and seventy-one |
| Roman numerals | MMMCCLXXI |
| Binary (base 2) | 110011000111 |
| Octal (base 8) | 6307 |
| Hexadecimal (base 16) | CC7 |
| Base 3 | 11111011 |
| As time | 3271 seconds = 54 min 31 s |
Is 3271 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 1) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 3271 a prime number?
Yes. 3271 is divisible only by 1 and itself.
What are the factors of 3271?
1, 3271.
What is 3271 in binary?
110011000111 (hexadecimal CC7, octal 6307).
What is the square root of 3271?
About 57.1927.
What is 3271 in Roman numerals?
MMMCCLXXI.
Is 3271 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 3271?
3271 is the 462nd prime number.