The number 16688
16688 is a composite number with 20 divisors. Its prime factorisation is × 7 × 149. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 149, 298, 596, 1043, 1192, 2086 … 16688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16688 is composite. Its prime factorisation is
- 3
The divisors add up to 37200; without 16688 itself that is 20512, so 16688 is abundant (20512 is more than 16688). Euler's totient φ(16688) = 7104 numbers up to 16688 share no factor with it.
- 4
The digits of 16688 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16688 = 2^{4} \times 7 \times 149 \]16688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 37200 |
| Euler totient φ(n) | 7104 |
| Square | 278489344 |
| Cube | 4647430172672 |
| Square root | 129.182042 (= 4√1043) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.6688 × |
16688 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and eighty-eight |
| Binary (base 2) | 100000100110000 |
| Octal (base 8) | 40460 |
| Hexadecimal (base 16) | 4130 |
| Base 3 | 211220002 |
| As time | 16688 seconds = 4 h 38 min 8 s |
Is 16688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16688 ÷ 2 = 8344) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16688 ÷ 4 = 4172) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16688 ÷ 7 = 2384) | 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 (16688 ÷ 8 = 2086) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16688 a prime number?
No. 16688 = × 7 × 149, so it is divisible by 2.
What are the factors of 16688?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 149, 298, 596, 1043, 1192, 2086, 2384, 4172, 8344, 16688.
What is 16688 in binary?
100000100110000 (hexadecimal 4130, octal 40460).
What is the square root of 16688?
About 129.1820, exactly 4√1043.
Is 16688 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 16688?
It is a composite number with 20 divisors.