The number 32289
32289 is a composite number with 8 divisors. Its prime factorisation is 3 × 47 × 229. Divisors (8): 1, 3, 47, 141, 229, 687, 10763, 32289.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32289 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32289 is composite. Its prime factorisation is
- 3
The divisors add up to 44160; without 32289 itself that is 11871, so 32289 is deficient (11871 is less than 32289). Euler's totient φ(32289) = 20976 numbers up to 32289 share no factor with it.
- 4
The digits of 32289 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 103 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32289 = 3 \times 47 \times 229 \]
32289 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 44160 |
| Euler totient φ(n) | 20976 |
| Square | 1042579521 |
| Cube | 33663850153569 |
| Square root | 179.691402 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 103 |
| Scientific notation | 3.2289 × |
32289 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand two hundred and eighty-nine |
| Binary (base 2) | 111111000100001 |
| Octal (base 8) | 77041 |
| Hexadecimal (base 16) | 7E21 |
| Base 3 | 1122021220 |
| As time | 32289 seconds = 8 h 58 min 9 s |
Is 32289 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 | Yes (32289 ÷ 3 = 10763) | 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 3) | 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 1) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32289 a prime number?
No. 32289 = 3 × 47 × 229, so it is divisible by 3.
What are the factors of 32289?
1, 3, 47, 141, 229, 687, 10763, 32289.
What is 32289 in binary?
111111000100001 (hexadecimal 7E21, octal 77041).
What is the square root of 32289?
About 179.6914.
Is 32289 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32289?
It is a composite number with 8 divisors.