The number 5733
5733 is a composite number with 18 divisors. Its prime factorisation is × × 13. Divisors (18): 1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819 … 5733.
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How to work it out
- 1
5733 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5733 is composite. Its prime factorisation is
- 3
The divisors add up to 10374; without 5733 itself that is 4641, so 5733 is deficient (4641 is less than 5733). Euler's totient φ(5733) = 3024 numbers up to 5733 share no factor with it.
- 4
The digits of 5733 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 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5733 = 3^{2} \times 7^{2} \times 13 \]5733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 10374 |
| Euler totient φ(n) | 3024 |
| Square | 32867289 |
| Cube | 188428167837 |
| Square root | 75.716577 (= 21√13) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 28 |
| Scientific notation | 5.733 × |
5733 in other forms
| Form | Value |
|---|---|
| In words | five thousand seven hundred and thirty-three |
| Binary (base 2) | 1011001100101 |
| Octal (base 8) | 13145 |
| Hexadecimal (base 16) | 1665 |
| Base 3 | 21212100 |
| As time | 5733 seconds = 1 h 35 min 33 s |
Is 5733 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 (5733 ÷ 3 = 1911) | 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 (5733 ÷ 7 = 819) | 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 (5733 ÷ 9 = 637) | 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 2) | 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 5733 a prime number?
No. 5733 = × × 13, so it is divisible by 3.
What are the factors of 5733?
1, 3, 7, 9, 13, 21, 39, 49, 63, 91, 117, 147, 273, 441, 637, 819, 1911, 5733.
What is 5733 in binary?
1011001100101 (hexadecimal 1665, octal 13145).
What is the square root of 5733?
About 75.7166, exactly 21√13.
Is 5733 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5733?
It is a composite number with 18 divisors.