The number 49993
49993 is a twin prime (49991 and 49993 are both prime) and the 5132nd prime number. Its only divisors are 1 and 49993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49993: a twin prime (49991 and 49993 are both prime); the 5132nd prime number.
- 2
49993 is prime, so its only factors are 1 and 49993. It is the 5132nd prime; the next prime is 49999 and the one before is 49991.
- 3
The divisors add up to 49994; without 49993 itself that is 1, so 49993 is deficient (1 is less than 49993). Euler's totient φ(49993) = 49992 numbers up to 49993 share no factor with it.
- 4
The digits of 49993 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
49993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49994 |
| Euler totient φ(n) | 49992 |
| Square | 2499300049 |
| Cube | 124947507349657 |
| Square root | 223.591145 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.9993 × |
49993 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and ninety-three |
| Binary (base 2) | 1100001101001001 |
| Octal (base 8) | 141511 |
| Hexadecimal (base 16) | C349 |
| Base 3 | 2112120121 |
| As time | 49993 seconds = 13 h 53 min 13 s |
Is 49993 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 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 49993 a prime number?
Yes. 49993 is divisible only by 1 and itself.
What are the factors of 49993?
1, 49993.
What is 49993 in binary?
1100001101001001 (hexadecimal C349, octal 141511).
What is the square root of 49993?
About 223.5911.
Is 49993 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 49993?
49993 is a twin prime (49991 and 49993 are both prime); the 5132nd prime number.