The number 49339
49339 is the 5070th prime number. Its only divisors are 1 and 49339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49339: the 5070th prime number.
- 2
49339 is prime, so its only factors are 1 and 49339. It is the 5070th prime; the next prime is 49363 and the one before is 49333.
- 3
The divisors add up to 49340; without 49339 itself that is 1, so 49339 is deficient (1 is less than 49339). Euler's totient φ(49339) = 49338 numbers up to 49339 share no factor with it.
- 4
The digits of 49339 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
49339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49340 |
| Euler totient φ(n) | 49338 |
| Square | 2434336921 |
| Cube | 120107749345219 |
| Square root | 222.123839 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.9339 × |
49339 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand three hundred and thirty-nine |
| Binary (base 2) | 1100000010111011 |
| Octal (base 8) | 140273 |
| Hexadecimal (base 16) | C0BB |
| Base 3 | 2111200101 |
| As time | 49339 seconds = 13 h 42 min 19 s |
Is 49339 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 3) | 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 1) | 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 49339 a prime number?
Yes. 49339 is divisible only by 1 and itself.
What are the factors of 49339?
1, 49339.
What is 49339 in binary?
1100000010111011 (hexadecimal C0BB, octal 140273).
What is the square root of 49339?
About 222.1238.
Is 49339 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 49339?
49339 is the 5070th prime number.