The number 16984
16984 is a composite number with 16 divisors. Its prime factorisation is × 11 × 193. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 193, 386, 772, 1544, 2123, 4246, 8492, 16984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16984 is composite. Its prime factorisation is
- 3
The divisors add up to 34920; without 16984 itself that is 17936, so 16984 is abundant (17936 is more than 16984). Euler's totient φ(16984) = 7680 numbers up to 16984 share no factor with it.
- 4
The digits of 16984 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16984 = 2^{3} \times 11 \times 193 \]16984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34920 |
| Euler totient φ(n) | 7680 |
| Square | 288456256 |
| Cube | 4899141051904 |
| Square root | 130.322676 (= 2√4246) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6984 × |
16984 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and eighty-four |
| Binary (base 2) | 100001001011000 |
| Octal (base 8) | 41130 |
| Hexadecimal (base 16) | 4258 |
| Base 3 | 212022001 |
| As time | 16984 seconds = 4 h 43 min 4 s |
Is 16984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16984 ÷ 2 = 8492) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (16984 ÷ 4 = 4246) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (16984 ÷ 8 = 2123) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (16984 ÷ 11 = 1544) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16984 a prime number?
No. 16984 = × 11 × 193, so it is divisible by 2.
What are the factors of 16984?
1, 2, 4, 8, 11, 22, 44, 88, 193, 386, 772, 1544, 2123, 4246, 8492, 16984.
What is 16984 in binary?
100001001011000 (hexadecimal 4258, octal 41130).
What is the square root of 16984?
About 130.3227, exactly 2√4246.
Is 16984 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 16984?
It is a composite number with 16 divisors.