The number 32732
32732 is a composite number with 18 divisors. Its prime factorisation is × × 167. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 167, 196, 334, 668, 1169, 2338, 4676, 8183 … 32732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32732 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32732 is composite. Its prime factorisation is
- 3
The divisors add up to 67032; without 32732 itself that is 34300, so 32732 is abundant (34300 is more than 32732). Euler's totient φ(32732) = 13944 numbers up to 32732 share no factor with it.
- 4
The digits of 32732 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32732 = 2^{2} \times 7^{2} \times 167 \]32732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 67032 |
| Euler totient φ(n) | 13944 |
| Square | 1071383824 |
| Cube | 35068535327168 |
| Square root | 180.919872 (= 14√167) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.2732 × |
32732 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and thirty-two |
| Binary (base 2) | 111111111011100 |
| Octal (base 8) | 77734 |
| Hexadecimal (base 16) | 7FDC |
| Base 3 | 1122220022 |
| As time | 32732 seconds = 9 h 5 min 32 s |
Is 32732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32732 ÷ 2 = 16366) | 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 | Yes (32732 ÷ 4 = 8183) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32732 ÷ 7 = 4676) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32732 a prime number?
No. 32732 = × × 167, so it is divisible by 2.
What are the factors of 32732?
1, 2, 4, 7, 14, 28, 49, 98, 167, 196, 334, 668, 1169, 2338, 4676, 8183, 16366, 32732.
What is 32732 in binary?
111111111011100 (hexadecimal 7FDC, octal 77734).
What is the square root of 32732?
About 180.9199, exactly 14√167.
Is 32732 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 32732?
It is a composite number with 18 divisors.