The number 16677
16677 is a composite number with 12 divisors. Its prime factorisation is × 17 × 109. Divisors (12): 1, 3, 9, 17, 51, 109, 153, 327, 981, 1853, 5559, 16677.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16677 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16677 is composite. Its prime factorisation is
- 3
The divisors add up to 25740; without 16677 itself that is 9063, so 16677 is deficient (9063 is less than 16677). Euler's totient φ(16677) = 10368 numbers up to 16677 share no factor with it.
- 4
The digits of 16677 add up to 27, 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
\[ 16677 = 3^{2} \times 17 \times 109 \]16677 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25740 |
| Euler totient φ(n) | 10368 |
| Square | 278122329 |
| Cube | 4638246080733 |
| Square root | 129.139460 (= 3√1853) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6677 × |
16677 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand six hundred and seventy-seven |
| Binary (base 2) | 100000100100101 |
| Octal (base 8) | 40445 |
| Hexadecimal (base 16) | 4125 |
| Base 3 | 211212200 |
| As time | 16677 seconds = 4 h 37 min 57 s |
Is 16677 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 (16677 ÷ 3 = 5559) | 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 | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16677 ÷ 9 = 1853) | 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 1) | 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 16677 a prime number?
No. 16677 = × 17 × 109, so it is divisible by 3.
What are the factors of 16677?
1, 3, 9, 17, 51, 109, 153, 327, 981, 1853, 5559, 16677.
What is 16677 in binary?
100000100100101 (hexadecimal 4125, octal 40445).
What is the square root of 16677?
About 129.1395, exactly 3√1853.
Is 16677 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16677?
It is a composite number with 12 divisors.