The number 16488
16488 is a composite number with 24 divisors. Its prime factorisation is × × 229. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 229, 458, 687, 916 … 16488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16488 is composite. Its prime factorisation is
- 3
The divisors add up to 44850; without 16488 itself that is 28362, so 16488 is abundant (28362 is more than 16488). Euler's totient φ(16488) = 5472 numbers up to 16488 share no factor with it.
- 4
The digits of 16488 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16488 = 2^{3} \times 3^{2} \times 229 \]16488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 44850 |
| Euler totient φ(n) | 5472 |
| Square | 271854144 |
| Cube | 4482331126272 |
| Square root | 128.405607 (= 6√458) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6488 × |
16488 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand four hundred and eighty-eight |
| Binary (base 2) | 100000001101000 |
| Octal (base 8) | 40150 |
| Hexadecimal (base 16) | 4068 |
| Base 3 | 211121200 |
| As time | 16488 seconds = 4 h 34 min 48 s |
Is 16488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16488 ÷ 2 = 8244) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16488 ÷ 3 = 5496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16488 ÷ 4 = 4122) | 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 (16488 ÷ 6 = 2748) | 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 | Yes (16488 ÷ 8 = 2061) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16488 ÷ 9 = 1832) | 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 (16488 ÷ 12 = 1374) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16488 a prime number?
No. 16488 = × × 229, so it is divisible by 2.
What are the factors of 16488?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 229, 458, 687, 916, 1374, 1832, 2061, 2748, 4122, 5496, 8244, 16488.
What is 16488 in binary?
100000001101000 (hexadecimal 4068, octal 40150).
What is the square root of 16488?
About 128.4056, exactly 6√458.
Is 16488 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16488?
It is a composite number with 24 divisors.