The number 16337
16337 is a composite number with 6 divisors. Its prime factorisation is 17 Ć . Divisors (6): 1, 17, 31, 527, 961, 16337.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16337 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16337 is composite. Its prime factorisation is
- 3
The divisors add up to 17874; without 16337 itself that is 1537, so 16337 is deficient (1537 is less than 16337). Euler's totient Ļ(16337) = 14880 numbers up to 16337 share no factor with it.
- 4
The digits of 16337 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16337 = 17 \times 31^{2} \]16337 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 17874 |
| Euler totient Ļ(n) | 14880 |
| Square | 266897569 |
| Cube | 4360305584753 |
| Square root | 127.816274 (= 31ā17) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6337 Ć |
16337 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and thirty-seven |
| Binary (base 2) | 11111111010001 |
| Octal (base 8) | 37721 |
| Hexadecimal (base 16) | 3FD1 |
| Base 3 | 211102002 |
| As time | 16337 seconds = 4 h 32 min 17 s |
Is 16337 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16337 a prime number?
No. 16337 = 17 Ć , so it is divisible by 17.
What are the factors of 16337?
1, 17, 31, 527, 961, 16337.
What is 16337 in binary?
11111111010001 (hexadecimal 3FD1, octal 37721).
What is the square root of 16337?
About 127.8163, exactly 31ā17.
Is 16337 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16337?
It is a composite number with 6 divisors.