The number 47733
47733 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2273. Divisors (8): 1, 3, 7, 21, 2273, 6819, 15911, 47733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47733 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47733 is composite. Its prime factorisation is
- 3
The divisors add up to 72768; without 47733 itself that is 25035, so 47733 is deficient (25035 is less than 47733). Euler's totient φ(47733) = 27264 numbers up to 47733 share no factor with it.
- 4
The digits of 47733 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47733 = 3 \times 7 \times 2273 \]
47733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 72768 |
| Euler totient φ(n) | 27264 |
| Square | 2278439289 |
| Cube | 108756742581837 |
| Square root | 218.478832 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7733 × |
47733 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and thirty-three |
| Binary (base 2) | 1011101001110101 |
| Octal (base 8) | 135165 |
| Hexadecimal (base 16) | BA75 |
| Base 3 | 2102110220 |
| As time | 47733 seconds = 13 h 15 min 33 s |
Is 47733 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 (47733 ÷ 3 = 15911) | 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 3) | 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 | Yes (47733 ÷ 7 = 6819) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 47733 a prime number?
No. 47733 = 3 × 7 × 2273, so it is divisible by 3.
What are the factors of 47733?
1, 3, 7, 21, 2273, 6819, 15911, 47733.
What is 47733 in binary?
1011101001110101 (hexadecimal BA75, octal 135165).
What is the square root of 47733?
About 218.4788.
Is 47733 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47733?
It is a composite number with 8 divisors.