The number 49741
49741 is a twin prime (49739 and 49741 are both prime) and the 5108th prime number. Its only divisors are 1 and 49741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49741: a twin prime (49739 and 49741 are both prime); the 5108th prime number.
- 2
49741 is prime, so its only factors are 1 and 49741. It is the 5108th prime; the next prime is 49747 and the one before is 49739.
- 3
The divisors add up to 49742; without 49741 itself that is 1, so 49741 is deficient (1 is less than 49741). Euler's totient φ(49741) = 49740 numbers up to 49741 share no factor with it.
- 4
The digits of 49741 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
49741 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49742 |
| Euler totient φ(n) | 49740 |
| Square | 2474167081 |
| Cube | 123067544776021 |
| Square root | 223.026904 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9741 × |
49741 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty-one |
| Binary (base 2) | 1100001001001101 |
| Octal (base 8) | 141115 |
| Hexadecimal (base 16) | C24D |
| Base 3 | 2112020021 |
| As time | 49741 seconds = 13 h 49 min 1 s |
Is 49741 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | 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 49741 a prime number?
Yes. 49741 is divisible only by 1 and itself.
What are the factors of 49741?
1, 49741.
What is 49741 in binary?
1100001001001101 (hexadecimal C24D, octal 141115).
What is the square root of 49741?
About 223.0269.
Is 49741 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 49741?
49741 is a twin prime (49739 and 49741 are both prime); the 5108th prime number.