The number 17988
17988 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1499. Divisors (12): 1, 2, 3, 4, 6, 12, 1499, 2998, 4497, 5996, 8994, 17988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17988 is composite. Its prime factorisation is
- 3
The divisors add up to 42000; without 17988 itself that is 24012, so 17988 is abundant (24012 is more than 17988). Euler's totient φ(17988) = 5992 numbers up to 17988 share no factor with it.
- 4
The digits of 17988 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17988 = 2^{2} \times 3 \times 1499 \]17988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42000 |
| Euler totient φ(n) | 5992 |
| Square | 323568144 |
| Cube | 5820343774272 |
| Square root | 134.119350 (= 2√4497) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7988 × |
17988 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and eighty-eight |
| Binary (base 2) | 100011001000100 |
| Octal (base 8) | 43104 |
| Hexadecimal (base 16) | 4644 |
| Base 3 | 220200020 |
| As time | 17988 seconds = 4 h 59 min 48 s |
Is 17988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17988 ÷ 2 = 8994) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17988 ÷ 3 = 5996) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17988 ÷ 4 = 4497) | 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 (17988 ÷ 6 = 2998) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17988 ÷ 12 = 1499) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17988 a prime number?
No. 17988 = × 3 × 1499, so it is divisible by 2.
What are the factors of 17988?
1, 2, 3, 4, 6, 12, 1499, 2998, 4497, 5996, 8994, 17988.
What is 17988 in binary?
100011001000100 (hexadecimal 4644, octal 43104).
What is the square root of 17988?
About 134.1193, exactly 2√4497.
Is 17988 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 17988?
It is a composite number with 12 divisors.