The number 16775
16775 is a composite number with 12 divisors. Its prime factorisation is × 11 × 61. Divisors (12): 1, 5, 11, 25, 55, 61, 275, 305, 671, 1525, 3355, 16775.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16775 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16775 is composite. Its prime factorisation is
- 3
The divisors add up to 23064; without 16775 itself that is 6289, so 16775 is deficient (6289 is less than 16775). Euler's totient φ(16775) = 12000 numbers up to 16775 share no factor with it.
- 4
The digits of 16775 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16775 = 5^{2} \times 11 \times 61 \]16775 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 23064 |
| Euler totient φ(n) | 12000 |
| Square | 281400625 |
| Cube | 4720495484375 |
| Square root | 129.518338 (= 5√671) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6775 × |
16775 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and seventy-five |
| Binary (base 2) | 100000110000111 |
| Octal (base 8) | 40607 |
| Hexadecimal (base 16) | 4187 |
| Base 3 | 212000022 |
| As time | 16775 seconds = 4 h 39 min 35 s |
Is 16775 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16775 ÷ 5 = 3355) | 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 3) | 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 | No (remainder 8) | 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 (16775 ÷ 11 = 1525) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16775 a prime number?
No. 16775 = × 11 × 61, so it is divisible by 5.
What are the factors of 16775?
1, 5, 11, 25, 55, 61, 275, 305, 671, 1525, 3355, 16775.
What is 16775 in binary?
100000110000111 (hexadecimal 4187, octal 40607).
What is the square root of 16775?
About 129.5183, exactly 5√671.
Is 16775 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 16775?
It is a composite number with 12 divisors.