The number 32790
32790 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1093. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1093, 2186, 3279, 5465, 6558, 10930, 16395, 32790.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32790 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32790 is composite. Its prime factorisation is
- 3
The divisors add up to 78768; without 32790 itself that is 45978, so 32790 is abundant (45978 is more than 32790). Euler's totient φ(32790) = 8736 numbers up to 32790 share no factor with it.
- 4
The digits of 32790 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32790 = 2 \times 3 \times 5 \times 1093 \]
32790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78768 |
| Euler totient φ(n) | 8736 |
| Square | 1075184100 |
| Cube | 35255286639000 |
| Square root | 181.080093 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.279 × |
32790 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and ninety |
| Binary (base 2) | 1000000000010110 |
| Octal (base 8) | 100026 |
| Hexadecimal (base 16) | 8016 |
| Base 3 | 1122222110 |
| As time | 32790 seconds = 9 h 6 min 30 s |
Is 32790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32790 ÷ 2 = 16395) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32790 ÷ 3 = 10930) | 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 (32790 ÷ 5 = 6558) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32790 ÷ 6 = 5465) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (32790 ÷ 10 = 3279) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 32790 a prime number?
No. 32790 = 2 × 3 × 5 × 1093, so it is divisible by 2.
What are the factors of 32790?
1, 2, 3, 5, 6, 10, 15, 30, 1093, 2186, 3279, 5465, 6558, 10930, 16395, 32790.
What is 32790 in binary?
1000000000010110 (hexadecimal 8016, octal 100026).
What is the square root of 32790?
About 181.0801.
Is 32790 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 32790?
It is a composite number with 16 divisors.