The number 32730
32730 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1091. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1091, 2182, 3273, 5455, 6546, 10910, 16365, 32730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32730: a Harshad number: divisible by its digit sum 15.
- 2
32730 is composite. Its prime factorisation is
- 3
The divisors add up to 78624; without 32730 itself that is 45894, so 32730 is abundant (45894 is more than 32730). Euler's totient φ(32730) = 8720 numbers up to 32730 share no factor with it.
- 4
The digits of 32730 add up to 15, 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
\[ 32730 = 2 \times 3 \times 5 \times 1091 \]
32730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78624 |
| Euler totient φ(n) | 8720 |
| Square | 1071252900 |
| Cube | 35062107417000 |
| Square root | 180.914344 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.273 × |
32730 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and thirty |
| Binary (base 2) | 111111111011010 |
| Octal (base 8) | 77732 |
| Hexadecimal (base 16) | 7FDA |
| Base 3 | 1122220020 |
| As time | 32730 seconds = 9 h 5 min 30 s |
Is 32730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32730 ÷ 2 = 16365) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32730 ÷ 3 = 10910) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (32730 ÷ 5 = 6546) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32730 ÷ 6 = 5455) | 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 2) | 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 | Yes (32730 ÷ 10 = 3273) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32730 a prime number?
No. 32730 = 2 × 3 × 5 × 1091, so it is divisible by 2.
What are the factors of 32730?
1, 2, 3, 5, 6, 10, 15, 30, 1091, 2182, 3273, 5455, 6546, 10910, 16365, 32730.
What is 32730 in binary?
111111111011010 (hexadecimal 7FDA, octal 77732).
What is the square root of 32730?
About 180.9143.
Is 32730 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 32730?
32730 is a Harshad number: divisible by its digit sum 15.