The number 47839
47839 is a composite number with 4 divisors. Its prime factorisation is 11 × 4349. Divisors (4): 1, 11, 4349, 47839.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47839: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 4349, the product of two primes.
- 2
47839 is composite. Its prime factorisation is
- 3
The divisors add up to 52200; without 47839 itself that is 4361, so 47839 is deficient (4361 is less than 47839). Euler's totient φ(47839) = 43480 numbers up to 47839 share no factor with it.
- 4
The digits of 47839 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47839 = 11 \times 4349 \]
47839 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 52200 |
| Euler totient φ(n) | 43480 |
| Square | 2288569921 |
| Cube | 109482896450719 |
| Square root | 218.721284 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.7839 × |
47839 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and thirty-nine |
| Binary (base 2) | 1011101011011111 |
| Octal (base 8) | 135337 |
| Hexadecimal (base 16) | BADF |
| Base 3 | 2102121211 |
| As time | 47839 seconds = 13 h 17 min 19 s |
Is 47839 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 1) | 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 | Yes (47839 ÷ 11 = 4349) | 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 47839 a prime number?
No. 47839 = 11 × 4349, so it is divisible by 11.
What are the factors of 47839?
1, 11, 4349, 47839.
What is 47839 in binary?
1011101011011111 (hexadecimal BADF, octal 135337).
What is the square root of 47839?
About 218.7213.
Is 47839 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 47839?
47839 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 4349, the product of two primes.