The number 47087
47087 is the 4857th prime number. Its only divisors are 1 and 47087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47087: the 4857th prime number.
- 2
47087 is prime, so its only factors are 1 and 47087. It is the 4857th prime; the next prime is 47093 and the one before is 47059.
- 3
The divisors add up to 47088; without 47087 itself that is 1, so 47087 is deficient (1 is less than 47087). Euler's totient φ(47087) = 47086 numbers up to 47087 share no factor with it.
- 4
The digits of 47087 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47088 |
| Euler totient φ(n) | 47086 |
| Square | 2217185569 |
| Cube | 104400616887503 |
| Square root | 216.995392 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7087 × |
47087 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and eighty-seven |
| Binary (base 2) | 1011011111101111 |
| Octal (base 8) | 133757 |
| Hexadecimal (base 16) | B7EF |
| Base 3 | 2101120222 |
| As time | 47087 seconds = 13 h 4 min 47 s |
Is 47087 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 5) | 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 8) | 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 7) | 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 47087 a prime number?
Yes. 47087 is divisible only by 1 and itself.
What are the factors of 47087?
1, 47087.
What is 47087 in binary?
1011011111101111 (hexadecimal B7EF, octal 133757).
What is the square root of 47087?
About 216.9954.
Is 47087 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47087?
47087 is the 4857th prime number.