The number 16335
16335 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 121, 135, 165, 297, 363 … 16335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16335 is composite. Its prime factorisation is
- 3
The divisors add up to 31920; without 16335 itself that is 15585, so 16335 is deficient (15585 is less than 16335). Euler's totient φ(16335) = 7920 numbers up to 16335 share no factor with it.
- 4
The digits of 16335 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16335 = 3^{3} \times 5 \times 11^{2} \]16335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 31920 |
| Euler totient φ(n) | 7920 |
| Square | 266832225 |
| Cube | 4358704395375 |
| Square root | 127.808450 (= 33√15) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6335 × |
16335 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand three hundred and thirty-five |
| Binary (base 2) | 11111111001111 |
| Octal (base 8) | 37717 |
| Hexadecimal (base 16) | 3FCF |
| Base 3 | 211102000 |
| As time | 16335 seconds = 4 h 32 min 15 s |
Is 16335 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 (16335 ÷ 3 = 5445) | 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 | Yes (16335 ÷ 5 = 3267) | 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 4) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16335 ÷ 9 = 1815) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16335 ÷ 11 = 1485) | 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 16335 a prime number?
No. 16335 = × 5 × , so it is divisible by 3.
What are the factors of 16335?
1, 3, 5, 9, 11, 15, 27, 33, 45, 55, 99, 121, 135, 165, 297, 363, 495, 605, 1089, 1485, 1815, 3267, 5445, 16335.
What is 16335 in binary?
11111111001111 (hexadecimal 3FCF, octal 37717).
What is the square root of 16335?
About 127.8085, exactly 33√15.
Is 16335 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16335?
It is a composite number with 24 divisors.