The number 16731
16731 is a composite number with 18 divisors. Its prime factorisation is × 11 × . Divisors (18): 1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 169, 429, 507, 1287, 1521, 1859 … 16731.
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How to work it out
- 1
16731 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16731 is composite. Its prime factorisation is
- 3
The divisors add up to 28548; without 16731 itself that is 11817, so 16731 is deficient (11817 is less than 16731). Euler's totient φ(16731) = 9360 numbers up to 16731 share no factor with it.
- 4
The digits of 16731 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16731 = 3^{2} \times 11 \times 13^{2} \]16731 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 28548 |
| Euler totient φ(n) | 9360 |
| Square | 279926361 |
| Cube | 4683447945891 |
| Square root | 129.348367 (= 39√11) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6731 × |
16731 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and thirty-one |
| Binary (base 2) | 100000101011011 |
| Octal (base 8) | 40533 |
| Hexadecimal (base 16) | 415B |
| Base 3 | 211221200 |
| As time | 16731 seconds = 4 h 38 min 51 s |
Is 16731 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 (16731 ÷ 3 = 5577) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16731 ÷ 9 = 1859) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16731 ÷ 11 = 1521) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16731 a prime number?
No. 16731 = × 11 × , so it is divisible by 3.
What are the factors of 16731?
1, 3, 9, 11, 13, 33, 39, 99, 117, 143, 169, 429, 507, 1287, 1521, 1859, 5577, 16731.
What is 16731 in binary?
100000101011011 (hexadecimal 415B, octal 40533).
What is the square root of 16731?
About 129.3484, exactly 39√11.
Is 16731 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16731?
It is a composite number with 18 divisors.