The number 47741
47741 is a twin prime (47741 and 47743 are both prime) and the 4922nd prime number. Its only divisors are 1 and 47741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47741: a twin prime (47741 and 47743 are both prime); the 4922nd prime number.
- 2
47741 is prime, so its only factors are 1 and 47741. It is the 4922nd prime; the next prime is 47743 and the one before is 47737.
- 3
The divisors add up to 47742; without 47741 itself that is 1, so 47741 is deficient (1 is less than 47741). Euler's totient φ(47741) = 47740 numbers up to 47741 share no factor with it.
- 4
The digits of 47741 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 101 steps to reach 1.
47741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47742 |
| Euler totient φ(n) | 47740 |
| Square | 2279203081 |
| Cube | 108811434290021 |
| Square root | 218.497140 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7741 × |
47741 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and forty-one |
| Binary (base 2) | 1011101001111101 |
| Octal (base 8) | 135175 |
| Hexadecimal (base 16) | BA7D |
| Base 3 | 2102111012 |
| As time | 47741 seconds = 13 h 15 min 41 s |
Is 47741 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 1) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47741 a prime number?
Yes. 47741 is divisible only by 1 and itself.
What are the factors of 47741?
1, 47741.
What is 47741 in binary?
1011101001111101 (hexadecimal BA7D, octal 135175).
What is the square root of 47741?
About 218.4971.
Is 47741 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47741?
47741 is a twin prime (47741 and 47743 are both prime); the 4922nd prime number.