The number 32389
32389 is a composite number with 6 divisors. Its prime factorisation is Ć 661. Divisors (6): 1, 7, 49, 661, 4627, 32389.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32389: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
32389 is composite. Its prime factorisation is
- 3
The divisors add up to 37734; without 32389 itself that is 5345, so 32389 is deficient (5345 is less than 32389). Euler's totient Ļ(32389) = 27720 numbers up to 32389 share no factor with it.
- 4
The digits of 32389 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32389 = 7^{2} \times 661 \]32389 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 37734 |
| Euler totient Ļ(n) | 27720 |
| Square | 1049047321 |
| Cube | 33977593679869 |
| Square root | 179.969442 (= 7ā661) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2389 Ć |
32389 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand three hundred and eighty-nine |
| Binary (base 2) | 111111010000101 |
| Octal (base 8) | 77205 |
| Hexadecimal (base 16) | 7E85 |
| Base 3 | 1122102121 |
| As time | 32389 seconds = 8 h 59 min 49 s |
Is 32389 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 (32389 Ć· 7 = 4627) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | 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 32389 a prime number?
No. 32389 = Ć 661, so it is divisible by 7.
What are the factors of 32389?
1, 7, 49, 661, 4627, 32389.
What is 32389 in binary?
111111010000101 (hexadecimal 7E85, octal 77205).
What is the square root of 32389?
About 179.9694, exactly 7ā661.
Is 32389 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 32389?
32389 is a happy number: repeatedly adding the squares of its digits reaches 1.