The number 16689
16689 is a composite number with 4 divisors. Its prime factorisation is 3 × 5563. Divisors (4): 1, 3, 5563, 16689.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16689: a semiprime: 3 × 5563, the product of two primes.
- 2
16689 is composite. Its prime factorisation is
- 3
The divisors add up to 22256; without 16689 itself that is 5567, so 16689 is deficient (5567 is less than 16689). Euler's totient φ(16689) = 11124 numbers up to 16689 share no factor with it.
- 4
The digits of 16689 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 115 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16689 = 3 \times 5563 \]
16689 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 22256 |
| Euler totient φ(n) | 11124 |
| Square | 278522721 |
| Cube | 4648265690769 |
| Square root | 129.185913 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 115 |
| Scientific notation | 1.6689 × |
16689 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and eighty-nine |
| Binary (base 2) | 100000100110001 |
| Octal (base 8) | 40461 |
| Hexadecimal (base 16) | 4131 |
| Base 3 | 211220010 |
| As time | 16689 seconds = 4 h 38 min 9 s |
Is 16689 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 (16689 ÷ 3 = 5563) | 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 1) | 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 2) | 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 16689 a prime number?
No. 16689 = 3 × 5563, so it is divisible by 3.
What are the factors of 16689?
1, 3, 5563, 16689.
What is 16689 in binary?
100000100110001 (hexadecimal 4131, octal 40461).
What is the square root of 16689?
About 129.1859.
Is 16689 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 16689?
16689 is a semiprime: 3 × 5563, the product of two primes.