The number 47237
47237 is the 4871st prime number. Its only divisors are 1 and 47237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47237: the 4871st prime number.
- 2
47237 is prime, so its only factors are 1 and 47237. It is the 4871st prime; the next prime is 47251 and the one before is 47221.
- 3
The divisors add up to 47238; without 47237 itself that is 1, so 47237 is deficient (1 is less than 47237). Euler's totient φ(47237) = 47236 numbers up to 47237 share no factor with it.
- 4
The digits of 47237 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 114 steps to reach 1.
47237 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47238 |
| Euler totient φ(n) | 47236 |
| Square | 2231334169 |
| Cube | 105401532141053 |
| Square root | 217.340746 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.7237 × |
47237 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and thirty-seven |
| Binary (base 2) | 1011100010000101 |
| Octal (base 8) | 134205 |
| Hexadecimal (base 16) | B885 |
| Base 3 | 2101210112 |
| As time | 47237 seconds = 13 h 7 min 17 s |
Is 47237 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47237 a prime number?
Yes. 47237 is divisible only by 1 and itself.
What are the factors of 47237?
1, 47237.
What is 47237 in binary?
1011100010000101 (hexadecimal B885, octal 134205).
What is the square root of 47237?
About 217.3407.
Is 47237 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47237?
47237 is the 4871st prime number.