The number 1327
1327 is the 217th prime number. Its only divisors are 1 and 1327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1327: the 217th prime number.
- 2
1327 is prime, so its only factors are 1 and 1327. It is the 217th prime; the next prime is 1361 and the one before is 1321.
- 3
The divisors add up to 1328; without 1327 itself that is 1, so 1327 is deficient (1 is less than 1327). Euler's totient φ(1327) = 1326 numbers up to 1327 share no factor with it.
- 4
The digits of 1327 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 52 steps to reach 1.
1327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 1328 |
| Euler totient φ(n) | 1326 |
| Square | 1760929 |
| Cube | 2336752783 |
| Square root | 36.428011 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 1.327 × |
1327 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twenty-seven |
| Roman numerals | MCCCXXVII |
| Binary (base 2) | 10100101111 |
| Octal (base 8) | 2457 |
| Hexadecimal (base 16) | 52F |
| Base 3 | 1211011 |
| As time | 1327 seconds = 22 min 7 s |
Is 1327 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 2) | 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 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 1327 a prime number?
Yes. 1327 is divisible only by 1 and itself.
What are the factors of 1327?
1, 1327.
What is 1327 in binary?
10100101111 (hexadecimal 52F, octal 2457).
What is the square root of 1327?
About 36.4280.
What is 1327 in Roman numerals?
MCCCXXVII.
Is 1327 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 1327?
1327 is the 217th prime number.