The number 49999
49999 is the 5133rd prime number. Its only divisors are 1 and 49999.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49999: the 5133rd prime number.
- 2
49999 is prime, so its only factors are 1 and 49999. It is the 5133rd prime; the next prime is 50021 and the one before is 49993.
- 3
The divisors add up to 50000; without 49999 itself that is 1, so 49999 is deficient (1 is less than 49999). Euler's totient φ(49999) = 49998 numbers up to 49999 share no factor with it.
- 4
The digits of 49999 add up to 40, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
49999 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 50000 |
| Euler totient φ(n) | 49998 |
| Square | 2499900001 |
| Cube | 124992500149999 |
| Square root | 223.604562 |
| Digit sum / digital root | 40 / 4 |
| Collatz steps to 1 | 88 |
| Scientific notation | 4.9999 × |
49999 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand nine hundred and ninety-nine |
| Binary (base 2) | 1100001101001111 |
| Octal (base 8) | 141517 |
| Hexadecimal (base 16) | C34F |
| Base 3 | 2112120211 |
| As time | 49999 seconds = 13 h 53 min 19 s |
Is 49999 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 4) | 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 7) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 49999 a prime number?
Yes. 49999 is divisible only by 1 and itself.
What are the factors of 49999?
1, 49999.
What is 49999 in binary?
1100001101001111 (hexadecimal C34F, octal 141517).
What is the square root of 49999?
About 223.6046.
Is 49999 divisible by 3?
No. Its digits add up to 40, which is not a multiple of 3.
What is special about the number 49999?
49999 is the 5133rd prime number.