The number 5387
5387 is the 710th prime number. Its only divisors are 1 and 5387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5387: the 710th prime number.
- 2
5387 is prime, so its only factors are 1 and 5387. It is the 710th prime; the next prime is 5393 and the one before is 5381.
- 3
The divisors add up to 5388; without 5387 itself that is 1, so 5387 is deficient (1 is less than 5387). Euler's totient φ(5387) = 5386 numbers up to 5387 share no factor with it.
- 4
The digits of 5387 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
5387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5388 |
| Euler totient φ(n) | 5386 |
| Square | 29019769 |
| Cube | 156329495603 |
| Square root | 73.396185 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 5.387 × |
5387 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and eighty-seven |
| Binary (base 2) | 1010100001011 |
| Octal (base 8) | 12413 |
| Hexadecimal (base 16) | 150B |
| Base 3 | 21101112 |
| As time | 5387 seconds = 1 h 29 min 47 s |
Is 5387 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 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 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 8) | 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 5387 a prime number?
Yes. 5387 is divisible only by 1 and itself.
What are the factors of 5387?
1, 5387.
What is 5387 in binary?
1010100001011 (hexadecimal 150B, octal 12413).
What is the square root of 5387?
About 73.3962.
Is 5387 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 5387?
5387 is the 710th prime number.