The number 32733
32733 is a composite number with 6 divisors. Its prime factorisation is × 3637. Divisors (6): 1, 3, 9, 3637, 10911, 32733.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32733 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32733 is composite. Its prime factorisation is
- 3
The divisors add up to 47294; without 32733 itself that is 14561, so 32733 is deficient (14561 is less than 32733). Euler's totient φ(32733) = 21816 numbers up to 32733 share no factor with it.
- 4
The digits of 32733 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32733 = 3^{2} \times 3637 \]32733 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47294 |
| Euler totient φ(n) | 21816 |
| Square | 1071449289 |
| Cube | 35071749576837 |
| Square root | 180.922635 (= 3√3637) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.2733 × |
32733 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and thirty-three |
| Binary (base 2) | 111111111011101 |
| Octal (base 8) | 77735 |
| Hexadecimal (base 16) | 7FDD |
| Base 3 | 1122220100 |
| As time | 32733 seconds = 9 h 5 min 33 s |
Is 32733 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 (32733 ÷ 3 = 10911) | 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 1) | 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 (32733 ÷ 9 = 3637) | 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 8) | 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 32733 a prime number?
No. 32733 = × 3637, so it is divisible by 3.
What are the factors of 32733?
1, 3, 9, 3637, 10911, 32733.
What is 32733 in binary?
111111111011101 (hexadecimal 7FDD, octal 77735).
What is the square root of 32733?
About 180.9226, exactly 3√3637.
Is 32733 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 32733?
It is a composite number with 6 divisors.