The number 32989
32989 is a composite number with 4 divisors. Its prime factorisation is 11 × 2999. Divisors (4): 1, 11, 2999, 32989.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32989: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2999, the product of two primes.
- 2
32989 is composite. Its prime factorisation is
- 3
The divisors add up to 36000; without 32989 itself that is 3011, so 32989 is deficient (3011 is less than 32989). Euler's totient φ(32989) = 29980 numbers up to 32989 share no factor with it.
- 4
The digits of 32989 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32989 = 11 \times 2999 \]
32989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 36000 |
| Euler totient φ(n) | 29980 |
| Square | 1088274121 |
| Cube | 35901074977669 |
| Square root | 181.628742 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2989 × |
32989 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and eighty-nine |
| Binary (base 2) | 1000000011011101 |
| Octal (base 8) | 100335 |
| Hexadecimal (base 16) | 80DD |
| Base 3 | 1200020211 |
| As time | 32989 seconds = 9 h 9 min 49 s |
Is 32989 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 | 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 5) | 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 | Yes (32989 ÷ 11 = 2999) | 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 32989 a prime number?
No. 32989 = 11 × 2999, so it is divisible by 11.
What are the factors of 32989?
1, 11, 2999, 32989.
What is 32989 in binary?
1000000011011101 (hexadecimal 80DD, octal 100335).
What is the square root of 32989?
About 181.6287.
Is 32989 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 32989?
32989 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 2999, the product of two primes.