The number 47339
47339 is the 4881st prime number. Its only divisors are 1 and 47339.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47339: the 4881st prime number.
- 2
47339 is prime, so its only factors are 1 and 47339. It is the 4881st prime; the next prime is 47351 and the one before is 47317.
- 3
The divisors add up to 47340; without 47339 itself that is 1, so 47339 is deficient (1 is less than 47339). Euler's totient φ(47339) = 47338 numbers up to 47339 share no factor with it.
- 4
The digits of 47339 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
47339 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 47340 |
| Euler totient φ(n) | 47338 |
| Square | 2240980921 |
| Cube | 106085795819219 |
| Square root | 217.575274 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.7339 × |
47339 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and thirty-nine |
| Binary (base 2) | 1011100011101011 |
| Octal (base 8) | 134353 |
| Hexadecimal (base 16) | B8EB |
| Base 3 | 2101221022 |
| As time | 47339 seconds = 13 h 8 min 59 s |
Is 47339 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 6) | 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 47339 a prime number?
Yes. 47339 is divisible only by 1 and itself.
What are the factors of 47339?
1, 47339.
What is 47339 in binary?
1011100011101011 (hexadecimal B8EB, octal 134353).
What is the square root of 47339?
About 217.5753.
Is 47339 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47339?
47339 is the 4881st prime number.