The number 32809
32809 is a composite number with 8 divisors. Its prime factorisation is 7 × 43 × 109. Divisors (8): 1, 7, 43, 109, 301, 763, 4687, 32809.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32809 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32809 is composite. Its prime factorisation is
- 3
The divisors add up to 38720; without 32809 itself that is 5911, so 32809 is deficient (5911 is less than 32809). Euler's totient φ(32809) = 27216 numbers up to 32809 share no factor with it.
- 4
The digits of 32809 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 222 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32809 = 7 \times 43 \times 109 \]
32809 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38720 |
| Euler totient φ(n) | 27216 |
| Square | 1076430481 |
| Cube | 35316607651129 |
| Square root | 181.132548 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 222 |
| Scientific notation | 3.2809 × |
32809 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and nine |
| Binary (base 2) | 1000000000101001 |
| Octal (base 8) | 100051 |
| Hexadecimal (base 16) | 8029 |
| Base 3 | 1200000011 |
| As time | 32809 seconds = 9 h 6 min 49 s |
Is 32809 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (32809 ÷ 7 = 4687) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32809 a prime number?
No. 32809 = 7 × 43 × 109, so it is divisible by 7.
What are the factors of 32809?
1, 7, 43, 109, 301, 763, 4687, 32809.
What is 32809 in binary?
1000000000101001 (hexadecimal 8029, octal 100051).
What is the square root of 32809?
About 181.1325.
Is 32809 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 32809?
It is a composite number with 8 divisors.