The number 32889
32889 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 577. Divisors (8): 1, 3, 19, 57, 577, 1731, 10963, 32889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32889 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32889 is composite. Its prime factorisation is
- 3
The divisors add up to 46240; without 32889 itself that is 13351, so 32889 is deficient (13351 is less than 32889). Euler's totient φ(32889) = 20736 numbers up to 32889 share no factor with it.
- 4
The digits of 32889 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32889 = 3 \times 19 \times 577 \]
32889 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46240 |
| Euler totient φ(n) | 20736 |
| Square | 1081686321 |
| Cube | 35575581411369 |
| Square root | 181.353246 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.2889 × |
32889 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and eighty-nine |
| Binary (base 2) | 1000000001111001 |
| Octal (base 8) | 100171 |
| Hexadecimal (base 16) | 8079 |
| Base 3 | 1200010010 |
| As time | 32889 seconds = 9 h 8 min 9 s |
Is 32889 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 (32889 ÷ 3 = 10963) | 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 3) | 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 3) | 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 10) | 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 32889 a prime number?
No. 32889 = 3 × 19 × 577, so it is divisible by 3.
What are the factors of 32889?
1, 3, 19, 57, 577, 1731, 10963, 32889.
What is 32889 in binary?
1000000001111001 (hexadecimal 8079, octal 100171).
What is the square root of 32889?
About 181.3532.
Is 32889 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 32889?
It is a composite number with 8 divisors.