The number 53327
53327 is the 5440th prime number. Its only divisors are 1 and 53327.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 53327: the 5440th prime number.
- 2
53327 is prime, so its only factors are 1 and 53327. It is the 5440th prime; the next prime is 53353 and the one before is 53323.
- 3
The divisors add up to 53328; without 53327 itself that is 1, so 53327 is deficient (1 is less than 53327). Euler's totient φ(53327) = 53326 numbers up to 53327 share no factor with it.
- 4
The digits of 53327 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
53327 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 53328 |
| Euler totient φ(n) | 53326 |
| Square | 2843768929 |
| Cube | 151649665676783 |
| Square root | 230.926395 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 5.3327 × |
53327 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and twenty-seven |
| Binary (base 2) | 1101000001001111 |
| Octal (base 8) | 150117 |
| Hexadecimal (base 16) | D04F |
| Base 3 | 2201011002 |
| As time | 53327 seconds = 14 h 48 min 47 s |
Is 53327 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 1) | 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 2) | 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 10) | 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 53327 a prime number?
Yes. 53327 is divisible only by 1 and itself.
What are the factors of 53327?
1, 53327.
What is 53327 in binary?
1101000001001111 (hexadecimal D04F, octal 150117).
What is the square root of 53327?
About 230.9264.
Is 53327 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53327?
53327 is the 5440th prime number.