The number 47387
47387 is a twin prime (47387 and 47389 are both prime) and the 4886th prime number. Its only divisors are 1 and 47387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47387: a twin prime (47387 and 47389 are both prime); the 4886th prime number.
- 2
47387 is prime, so its only factors are 1 and 47387. It is the 4886th prime; the next prime is 47389 and the one before is 47381.
- 3
The divisors add up to 47388; without 47387 itself that is 1, so 47387 is deficient (1 is less than 47387). Euler's totient φ(47387) = 47386 numbers up to 47387 share no factor with it.
- 4
The digits of 47387 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47387 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47388 |
| Euler totient φ(n) | 47386 |
| Square | 2245527769 |
| Cube | 106408824389603 |
| Square root | 217.685553 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7387 × |
47387 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and eighty-seven |
| Binary (base 2) | 1011100100011011 |
| Octal (base 8) | 134433 |
| Hexadecimal (base 16) | B91B |
| Base 3 | 2102000002 |
| As time | 47387 seconds = 13 h 9 min 47 s |
Is 47387 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 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 47387 a prime number?
Yes. 47387 is divisible only by 1 and itself.
What are the factors of 47387?
1, 47387.
What is 47387 in binary?
1011100100011011 (hexadecimal B91B, octal 134433).
What is the square root of 47387?
About 217.6856.
Is 47387 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 47387?
47387 is a twin prime (47387 and 47389 are both prime); the 4886th prime number.