The number 47829
47829 is a composite number with 8 divisors. Its prime factorisation is 3 × 107 × 149. Divisors (8): 1, 3, 107, 149, 321, 447, 15943, 47829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47829 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47829 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 47829 itself that is 16971, so 47829 is deficient (16971 is less than 47829). Euler's totient φ(47829) = 31376 numbers up to 47829 share no factor with it.
- 4
The digits of 47829 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47829 = 3 \times 107 \times 149 \]
47829 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 31376 |
| Square | 2287613241 |
| Cube | 109414253703789 |
| Square root | 218.698422 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7829 × |
47829 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and twenty-nine |
| Binary (base 2) | 1011101011010101 |
| Octal (base 8) | 135325 |
| Hexadecimal (base 16) | BAD5 |
| Base 3 | 2102121110 |
| As time | 47829 seconds = 13 h 17 min 9 s |
Is 47829 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 | Yes (47829 ÷ 3 = 15943) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47829 a prime number?
No. 47829 = 3 × 107 × 149, so it is divisible by 3.
What are the factors of 47829?
1, 3, 107, 149, 321, 447, 15943, 47829.
What is 47829 in binary?
1011101011010101 (hexadecimal BAD5, octal 135325).
What is the square root of 47829?
About 218.6984.
Is 47829 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47829?
It is a composite number with 8 divisors.