The number 16827
16827 is a composite number with 8 divisors. Its prime factorisation is 3 × 71 × 79. Divisors (8): 1, 3, 71, 79, 213, 237, 5609, 16827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16827 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16827 is composite. Its prime factorisation is
- 3
The divisors add up to 23040; without 16827 itself that is 6213, so 16827 is deficient (6213 is less than 16827). Euler's totient φ(16827) = 10920 numbers up to 16827 share no factor with it.
- 4
The digits of 16827 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16827 = 3 \times 71 \times 79 \]
16827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 23040 |
| Euler totient φ(n) | 10920 |
| Square | 283147929 |
| Cube | 4764530201283 |
| Square root | 129.718927 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.6827 × |
16827 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and twenty-seven |
| Binary (base 2) | 100000110111011 |
| Octal (base 8) | 40673 |
| Hexadecimal (base 16) | 41BB |
| Base 3 | 212002020 |
| As time | 16827 seconds = 4 h 40 min 27 s |
Is 16827 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 (16827 ÷ 3 = 5609) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | 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 16827 a prime number?
No. 16827 = 3 × 71 × 79, so it is divisible by 3.
What are the factors of 16827?
1, 3, 71, 79, 213, 237, 5609, 16827.
What is 16827 in binary?
100000110111011 (hexadecimal 41BB, octal 40673).
What is the square root of 16827?
About 129.7189.
Is 16827 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 16827?
It is a composite number with 8 divisors.