The number 16887
16887 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 433. Divisors (8): 1, 3, 13, 39, 433, 1299, 5629, 16887.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16887 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16887 is composite. Its prime factorisation is
- 3
The divisors add up to 24304; without 16887 itself that is 7417, so 16887 is deficient (7417 is less than 16887). Euler's totient φ(16887) = 10368 numbers up to 16887 share no factor with it.
- 4
The digits of 16887 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16887 = 3 \times 13 \times 433 \]
16887 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 24304 |
| Euler totient φ(n) | 10368 |
| Square | 285170769 |
| Cube | 4815678776103 |
| Square root | 129.949990 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6887 × |
16887 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and eighty-seven |
| Binary (base 2) | 100000111110111 |
| Octal (base 8) | 40767 |
| Hexadecimal (base 16) | 41F7 |
| Base 3 | 212011110 |
| As time | 16887 seconds = 4 h 41 min 27 s |
Is 16887 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 (16887 ÷ 3 = 5629) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16887 a prime number?
No. 16887 = 3 × 13 × 433, so it is divisible by 3.
What are the factors of 16887?
1, 3, 13, 39, 433, 1299, 5629, 16887.
What is 16887 in binary?
100000111110111 (hexadecimal 41F7, octal 40767).
What is the square root of 16887?
About 129.9500.
Is 16887 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 16887?
It is a composite number with 8 divisors.