The number 47147
47147 is a twin prime (47147 and 47149 are both prime) and the 4865th prime number. Its only divisors are 1 and 47147.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47147: a twin prime (47147 and 47149 are both prime); the 4865th prime number.
- 2
47147 is prime, so its only factors are 1 and 47147. It is the 4865th prime; the next prime is 47149 and the one before is 47143.
- 3
The divisors add up to 47148; without 47147 itself that is 1, so 47147 is deficient (1 is less than 47147). Euler's totient φ(47147) = 47146 numbers up to 47147 share no factor with it.
- 4
The digits of 47147 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 83 steps to reach 1.
47147 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47148 |
| Euler totient φ(n) | 47146 |
| Square | 2222839609 |
| Cube | 104800219045523 |
| Square root | 217.133599 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7147 × |
47147 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and forty-seven |
| Binary (base 2) | 1011100000101011 |
| Octal (base 8) | 134053 |
| Hexadecimal (base 16) | B82B |
| Base 3 | 2101200012 |
| As time | 47147 seconds = 13 h 5 min 47 s |
Is 47147 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 2) | 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 1) | 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 47147 a prime number?
Yes. 47147 is divisible only by 1 and itself.
What are the factors of 47147?
1, 47147.
What is 47147 in binary?
1011100000101011 (hexadecimal B82B, octal 134053).
What is the square root of 47147?
About 217.1336.
Is 47147 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47147?
47147 is a twin prime (47147 and 47149 are both prime); the 4865th prime number.