The number 47333
47333 is a composite number with 8 divisors. Its prime factorisation is 11 × 13 × 331. Divisors (8): 1, 11, 13, 143, 331, 3641, 4303, 47333.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47333 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47333 is composite. Its prime factorisation is
- 3
The divisors add up to 55776; without 47333 itself that is 8443, so 47333 is deficient (8443 is less than 47333). Euler's totient φ(47333) = 39600 numbers up to 47333 share no factor with it.
- 4
The digits of 47333 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47333 = 11 \times 13 \times 331 \]
47333 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55776 |
| Euler totient φ(n) | 39600 |
| Square | 2240412889 |
| Cube | 106045463275037 |
| Square root | 217.561486 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7333 × |
47333 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and thirty-three |
| Binary (base 2) | 1011100011100101 |
| Octal (base 8) | 134345 |
| Hexadecimal (base 16) | B8E5 |
| Base 3 | 2101221002 |
| As time | 47333 seconds = 13 h 8 min 53 s |
Is 47333 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 | Yes (47333 ÷ 11 = 4303) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47333 a prime number?
No. 47333 = 11 × 13 × 331, so it is divisible by 11.
What are the factors of 47333?
1, 11, 13, 143, 331, 3641, 4303, 47333.
What is 47333 in binary?
1011100011100101 (hexadecimal B8E5, octal 134345).
What is the square root of 47333?
About 217.5615.
Is 47333 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47333?
It is a composite number with 8 divisors.