The number 6732
6732 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 17. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51 … 6732.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6732: a Harshad number: divisible by its digit sum 18.
- 2
6732 is composite. Its prime factorisation is
- 3
The divisors add up to 19656; without 6732 itself that is 12924, so 6732 is abundant (12924 is more than 6732). Euler's totient φ(6732) = 1920 numbers up to 6732 share no factor with it.
- 4
The digits of 6732 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6732 = 2^{2} \times 3^{2} \times 11 \times 17 \]6732 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 19656 |
| Euler totient φ(n) | 1920 |
| Square | 45319824 |
| Cube | 305093055168 |
| Square root | 82.048766 (= 6√187) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.732 × |
6732 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and thirty-two |
| Binary (base 2) | 1101001001100 |
| Octal (base 8) | 15114 |
| Hexadecimal (base 16) | 1A4C |
| Base 3 | 100020100 |
| As time | 6732 seconds = 1 h 52 min 12 s |
Is 6732 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6732 ÷ 2 = 3366) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6732 ÷ 3 = 2244) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6732 ÷ 4 = 1683) | 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 | Yes (6732 ÷ 6 = 1122) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (6732 ÷ 9 = 748) | 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 | Yes (6732 ÷ 11 = 612) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6732 ÷ 12 = 561) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6732 a prime number?
No. 6732 = × × 11 × 17, so it is divisible by 2.
What are the factors of 6732?
1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732.
What is 6732 in binary?
1101001001100 (hexadecimal 1A4C, octal 15114).
What is the square root of 6732?
About 82.0488, exactly 6√187.
Is 6732 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6732?
6732 is a Harshad number: divisible by its digit sum 18.