The number 47137
47137 is the 4863rd prime number. Its only divisors are 1 and 47137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47137: the 4863rd prime number.
- 2
47137 is prime, so its only factors are 1 and 47137. It is the 4863rd prime; the next prime is 47143 and the one before is 47129.
- 3
The divisors add up to 47138; without 47137 itself that is 1, so 47137 is deficient (1 is less than 47137). Euler's totient φ(47137) = 47136 numbers up to 47137 share no factor with it.
- 4
The digits of 47137 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
47137 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47138 |
| Euler totient φ(n) | 47136 |
| Square | 2221896769 |
| Cube | 104733548000353 |
| Square root | 217.110571 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7137 × |
47137 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and thirty-seven |
| Binary (base 2) | 1011100000100001 |
| Octal (base 8) | 134041 |
| Hexadecimal (base 16) | B821 |
| Base 3 | 2101122211 |
| As time | 47137 seconds = 13 h 5 min 37 s |
Is 47137 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 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47137 a prime number?
Yes. 47137 is divisible only by 1 and itself.
What are the factors of 47137?
1, 47137.
What is 47137 in binary?
1011100000100001 (hexadecimal B821, octal 134041).
What is the square root of 47137?
About 217.1106.
Is 47137 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47137?
47137 is the 4863rd prime number.