The number 47331
47331 is a composite number with 8 divisors. Its prime factorisation is × 1753. Divisors (8): 1, 3, 9, 27, 1753, 5259, 15777, 47331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47331 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47331 is composite. Its prime factorisation is
- 3
The divisors add up to 70160; without 47331 itself that is 22829, so 47331 is deficient (22829 is less than 47331). Euler's totient φ(47331) = 31536 numbers up to 47331 share no factor with it.
- 4
The digits of 47331 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47331 = 3^{3} \times 1753 \]47331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 70160 |
| Euler totient φ(n) | 31536 |
| Square | 2240223561 |
| Cube | 106032021365691 |
| Square root | 217.556889 (= 3√5259) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7331 × |
47331 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and thirty-one |
| Binary (base 2) | 1011100011100011 |
| Octal (base 8) | 134343 |
| Hexadecimal (base 16) | B8E3 |
| Base 3 | 2101221000 |
| As time | 47331 seconds = 13 h 8 min 51 s |
Is 47331 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 (47331 ÷ 3 = 15777) | 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 1) | 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 (47331 ÷ 9 = 5259) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 47331 a prime number?
No. 47331 = × 1753, so it is divisible by 3.
What are the factors of 47331?
1, 3, 9, 27, 1753, 5259, 15777, 47331.
What is 47331 in binary?
1011100011100011 (hexadecimal B8E3, octal 134343).
What is the square root of 47331?
About 217.5569, exactly 3√5259.
Is 47331 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47331?
It is a composite number with 8 divisors.