The number 16317
16317 is a composite number with 18 divisors. Its prime factorisation is × × 37. Divisors (18): 1, 3, 7, 9, 21, 37, 49, 63, 111, 147, 259, 333, 441, 777, 1813, 2331 … 16317.
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How to work it out
- 1
16317 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16317 is composite. Its prime factorisation is
- 3
The divisors add up to 28158; without 16317 itself that is 11841, so 16317 is deficient (11841 is less than 16317). Euler's totient φ(16317) = 9072 numbers up to 16317 share no factor with it.
- 4
The digits of 16317 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
\[ 16317 = 3^{2} \times 7^{2} \times 37 \]16317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 28158 |
| Euler totient φ(n) | 9072 |
| Square | 266244489 |
| Cube | 4344311327013 |
| Square root | 127.738013 (= 21√37) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6317 × |
16317 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and seventeen |
| Binary (base 2) | 11111110111101 |
| Octal (base 8) | 37675 |
| Hexadecimal (base 16) | 3FBD |
| Base 3 | 211101100 |
| As time | 16317 seconds = 4 h 31 min 57 s |
Is 16317 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 (16317 ÷ 3 = 5439) | 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 2) | 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 | Yes (16317 ÷ 7 = 2331) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16317 ÷ 9 = 1813) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 16317 a prime number?
No. 16317 = × × 37, so it is divisible by 3.
What are the factors of 16317?
1, 3, 7, 9, 21, 37, 49, 63, 111, 147, 259, 333, 441, 777, 1813, 2331, 5439, 16317.
What is 16317 in binary?
11111110111101 (hexadecimal 3FBD, octal 37675).
What is the square root of 16317?
About 127.7380, exactly 21√37.
Is 16317 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16317?
It is a composite number with 18 divisors.