The number 16884
16884 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 67. Divisors (36): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 67 … 16884.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16884 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16884 is composite. Its prime factorisation is
- 3
The divisors add up to 49504; without 16884 itself that is 32620, so 16884 is abundant (32620 is more than 16884). Euler's totient φ(16884) = 4752 numbers up to 16884 share no factor with it.
- 4
The digits of 16884 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 172 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16884 = 2^{2} \times 3^{2} \times 7 \times 67 \]16884 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 49504 |
| Euler totient φ(n) | 4752 |
| Square | 285069456 |
| Cube | 4813112695104 |
| Square root | 129.938447 (= 6√469) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 172 |
| Scientific notation | 1.6884 × |
16884 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and eighty-four |
| Binary (base 2) | 100000111110100 |
| Octal (base 8) | 40764 |
| Hexadecimal (base 16) | 41F4 |
| Base 3 | 212011100 |
| As time | 16884 seconds = 4 h 41 min 24 s |
Is 16884 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16884 ÷ 2 = 8442) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16884 ÷ 3 = 5628) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16884 ÷ 4 = 4221) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16884 ÷ 6 = 2814) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16884 ÷ 7 = 2412) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16884 ÷ 9 = 1876) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (16884 ÷ 12 = 1407) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16884 a prime number?
No. 16884 = × × 7 × 67, so it is divisible by 2.
What are the factors of 16884?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 67, 84, 126, 134, 201, 252, 268, 402, 469, 603, 804, 938, 1206, 1407, 1876, 2412, 2814, 4221, 5628, 8442, 16884.
What is 16884 in binary?
100000111110100 (hexadecimal 41F4, octal 40764).
What is the square root of 16884?
About 129.9384, exactly 6√469.
Is 16884 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16884?
It is a composite number with 36 divisors.