The number 32748
32748 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2729. Divisors (12): 1, 2, 3, 4, 6, 12, 2729, 5458, 8187, 10916, 16374, 32748.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32748 is composite. Its prime factorisation is
- 3
The divisors add up to 76440; without 32748 itself that is 43692, so 32748 is abundant (43692 is more than 32748). Euler's totient φ(32748) = 10912 numbers up to 32748 share no factor with it.
- 4
The digits of 32748 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32748 = 2^{2} \times 3 \times 2729 \]32748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 76440 |
| Euler totient φ(n) | 10912 |
| Square | 1072431504 |
| Cube | 35119986892992 |
| Square root | 180.964085 (= 2√8187) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.2748 × |
32748 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and forty-eight |
| Binary (base 2) | 111111111101100 |
| Octal (base 8) | 77754 |
| Hexadecimal (base 16) | 7FEC |
| Base 3 | 1122220220 |
| As time | 32748 seconds = 9 h 5 min 48 s |
Is 32748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32748 ÷ 2 = 16374) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32748 ÷ 3 = 10916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32748 ÷ 4 = 8187) | 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 | Yes (32748 ÷ 6 = 5458) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (32748 ÷ 12 = 2729) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32748 a prime number?
No. 32748 = × 3 × 2729, so it is divisible by 2.
What are the factors of 32748?
1, 2, 3, 4, 6, 12, 2729, 5458, 8187, 10916, 16374, 32748.
What is 32748 in binary?
111111111101100 (hexadecimal 7FEC, octal 77754).
What is the square root of 32748?
About 180.9641, exactly 2√8187.
Is 32748 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32748?
It is a composite number with 12 divisors.