The number 47133
47133 is a binary palindrome (1011100000011101). Its prime factorisation is × 5237. Divisors (6): 1, 3, 9, 5237, 15711, 47133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47133: a binary palindrome (1011100000011101).
- 2
47133 is composite. Its prime factorisation is
- 3
The divisors add up to 68094; without 47133 itself that is 20961, so 47133 is deficient (20961 is less than 47133). Euler's totient φ(47133) = 31416 numbers up to 47133 share no factor with it.
- 4
The digits of 47133 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47133 = 3^{2} \times 5237 \]47133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 68094 |
| Euler totient φ(n) | 31416 |
| Square | 2221519689 |
| Cube | 104706887501637 |
| Square root | 217.101359 (= 3√5237) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7133 × |
47133 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and thirty-three |
| Binary (base 2) | 1011100000011101 |
| Octal (base 8) | 134035 |
| Hexadecimal (base 16) | B81D |
| Base 3 | 2101122200 |
| As time | 47133 seconds = 13 h 5 min 33 s |
Is 47133 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 (47133 ÷ 3 = 15711) | 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 | No (remainder 2) | 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 | Yes (47133 ÷ 9 = 5237) | 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 9) | 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 47133 a prime number?
No. 47133 = × 5237, so it is divisible by 3.
What are the factors of 47133?
1, 3, 9, 5237, 15711, 47133.
What is 47133 in binary?
1011100000011101 (hexadecimal B81D, octal 134035).
What is the square root of 47133?
About 217.1014, exactly 3√5237.
Is 47133 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47133?
47133 is a binary palindrome (1011100000011101).