The number 49667
49667 is a twin prime (49667 and 49669 are both prime) and the 5101st prime number. Its only divisors are 1 and 49667.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49667: a twin prime (49667 and 49669 are both prime); the 5101st prime number.
- 2
49667 is prime, so its only factors are 1 and 49667. It is the 5101st prime; the next prime is 49669 and the one before is 49663.
- 3
The divisors add up to 49668; without 49667 itself that is 1, so 49667 is deficient (1 is less than 49667). Euler's totient φ(49667) = 49666 numbers up to 49667 share no factor with it.
- 4
The digits of 49667 add up to 32, 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.
49667 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49668 |
| Euler totient φ(n) | 49666 |
| Square | 2466810889 |
| Cube | 122519096423963 |
| Square root | 222.860943 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9667 × |
49667 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand six hundred and sixty-seven |
| Binary (base 2) | 1100001000000011 |
| Octal (base 8) | 141003 |
| Hexadecimal (base 16) | C203 |
| Base 3 | 2112010112 |
| As time | 49667 seconds = 13 h 47 min 47 s |
Is 49667 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 49667 a prime number?
Yes. 49667 is divisible only by 1 and itself.
What are the factors of 49667?
1, 49667.
What is 49667 in binary?
1100001000000011 (hexadecimal C203, octal 141003).
What is the square root of 49667?
About 222.8609.
Is 49667 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49667?
49667 is a twin prime (49667 and 49669 are both prime); the 5101st prime number.