The number 32988
32988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2749. Divisors (12): 1, 2, 3, 4, 6, 12, 2749, 5498, 8247, 10996, 16494, 32988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32988 is composite. Its prime factorisation is
- 3
The divisors add up to 77000; without 32988 itself that is 44012, so 32988 is abundant (44012 is more than 32988). Euler's totient φ(32988) = 10992 numbers up to 32988 share no factor with it.
- 4
The digits of 32988 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32988 = 2^{2} \times 3 \times 2749 \]32988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77000 |
| Euler totient φ(n) | 10992 |
| Square | 1088208144 |
| Cube | 35897810254272 |
| Square root | 181.625989 (= 2√8247) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.2988 × |
32988 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and eighty-eight |
| Binary (base 2) | 1000000011011100 |
| Octal (base 8) | 100334 |
| Hexadecimal (base 16) | 80DC |
| Base 3 | 1200020210 |
| As time | 32988 seconds = 9 h 9 min 48 s |
Is 32988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32988 ÷ 2 = 16494) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (32988 ÷ 3 = 10996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (32988 ÷ 4 = 8247) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (32988 ÷ 6 = 5498) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 8) | 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 | Yes (32988 ÷ 12 = 2749) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32988 a prime number?
No. 32988 = × 3 × 2749, so it is divisible by 2.
What are the factors of 32988?
1, 2, 3, 4, 6, 12, 2749, 5498, 8247, 10996, 16494, 32988.
What is 32988 in binary?
1000000011011100 (hexadecimal 80DC, octal 100334).
What is the square root of 32988?
About 181.6260, exactly 2√8247.
Is 32988 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 32988?
It is a composite number with 12 divisors.