The number 47835
47835 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1063. Divisors (12): 1, 3, 5, 9, 15, 45, 1063, 3189, 5315, 9567, 15945, 47835.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47835 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47835 is composite. Its prime factorisation is
- 3
The divisors add up to 82992; without 47835 itself that is 35157, so 47835 is deficient (35157 is less than 47835). Euler's totient φ(47835) = 25488 numbers up to 47835 share no factor with it.
- 4
The digits of 47835 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47835 = 3^{2} \times 5 \times 1063 \]47835 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82992 |
| Euler totient φ(n) | 25488 |
| Square | 2288187225 |
| Cube | 109455435907875 |
| Square root | 218.712140 (= 3√5315) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.7835 × |
47835 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and thirty-five |
| Binary (base 2) | 1011101011011011 |
| Octal (base 8) | 135333 |
| Hexadecimal (base 16) | BADB |
| Base 3 | 2102121200 |
| As time | 47835 seconds = 13 h 17 min 15 s |
Is 47835 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 (47835 ÷ 3 = 15945) | 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 | Yes (47835 ÷ 5 = 9567) | 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 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 | Yes (47835 ÷ 9 = 5315) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47835 a prime number?
No. 47835 = × 5 × 1063, so it is divisible by 3.
What are the factors of 47835?
1, 3, 5, 9, 15, 45, 1063, 3189, 5315, 9567, 15945, 47835.
What is 47835 in binary?
1011101011011011 (hexadecimal BADB, octal 135333).
What is the square root of 47835?
About 218.7121, exactly 3√5315.
Is 47835 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47835?
It is a composite number with 12 divisors.