The number 49747
49747 is the 5109th prime number. Its only divisors are 1 and 49747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49747: the 5109th prime number.
- 2
49747 is prime, so its only factors are 1 and 49747. It is the 5109th prime; the next prime is 49757 and the one before is 49741.
- 3
The divisors add up to 49748; without 49747 itself that is 1, so 49747 is deficient (1 is less than 49747). Euler's totient φ(49747) = 49746 numbers up to 49747 share no factor with it.
- 4
The digits of 49747 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
49747 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49748 |
| Euler totient φ(n) | 49746 |
| Square | 2474764009 |
| Cube | 123112085155723 |
| Square root | 223.040355 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.9747 × |
49747 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and forty-seven |
| Binary (base 2) | 1100001001010011 |
| Octal (base 8) | 141123 |
| Hexadecimal (base 16) | C253 |
| Base 3 | 2112020111 |
| As time | 49747 seconds = 13 h 49 min 7 s |
Is 49747 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 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 1) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49747 a prime number?
Yes. 49747 is divisible only by 1 and itself.
What are the factors of 49747?
1, 49747.
What is 49747 in binary?
1100001001010011 (hexadecimal C253, octal 141123).
What is the square root of 49747?
About 223.0404.
Is 49747 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 49747?
49747 is the 5109th prime number.