The number 13327
13327 is the 1582nd prime number. Its only divisors are 1 and 13327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13327: the 1582nd prime number.
- 2
13327 is prime, so its only factors are 1 and 13327. It is the 1582nd prime; the next prime is 13331 and the one before is 13313.
- 3
The divisors add up to 13328; without 13327 itself that is 1, so 13327 is deficient (1 is less than 13327). Euler's totient φ(13327) = 13326 numbers up to 13327 share no factor with it.
- 4
The digits of 13327 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
13327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13328 |
| Euler totient φ(n) | 13326 |
| Square | 177608929 |
| Cube | 2366994196783 |
| Square root | 115.442626 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.3327 × |
13327 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-seven |
| Binary (base 2) | 11010000001111 |
| Octal (base 8) | 32017 |
| Hexadecimal (base 16) | 340F |
| Base 3 | 200021121 |
| As time | 13327 seconds = 3 h 42 min 7 s |
Is 13327 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 6) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13327 a prime number?
Yes. 13327 is divisible only by 1 and itself.
What are the factors of 13327?
1, 13327.
What is 13327 in binary?
11010000001111 (hexadecimal 340F, octal 32017).
What is the square root of 13327?
About 115.4426.
Is 13327 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13327?
13327 is the 1582nd prime number.