The number 49739
49739 is a twin prime (49739 and 49741 are both prime) and the 5107th prime number. Its only divisors are 1 and 49739.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49739: a twin prime (49739 and 49741 are both prime); the 5107th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
49739 is prime, so its only factors are 1 and 49739. It is the 5107th prime; the next prime is 49741 and the one before is 49727.
- 3
The divisors add up to 49740; without 49739 itself that is 1, so 49739 is deficient (1 is less than 49739). Euler's totient φ(49739) = 49738 numbers up to 49739 share no factor with it.
- 4
The digits of 49739 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.
49739 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49740 |
| Euler totient φ(n) | 49738 |
| Square | 2473968121 |
| Cube | 123052700370419 |
| Square root | 223.022420 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.9739 × |
49739 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand seven hundred and thirty-nine |
| Binary (base 2) | 1100001001001011 |
| Octal (base 8) | 141113 |
| Hexadecimal (base 16) | C24B |
| Base 3 | 2112020012 |
| As time | 49739 seconds = 13 h 48 min 59 s |
Is 49739 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 4) | 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 4) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 49739 a prime number?
Yes. 49739 is divisible only by 1 and itself.
What are the factors of 49739?
1, 49739.
What is 49739 in binary?
1100001001001011 (hexadecimal C24B, octal 141113).
What is the square root of 49739?
About 223.0224.
Is 49739 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 49739?
49739 is a twin prime (49739 and 49741 are both prime); the 5107th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.