The number 16983
16983 is a composite number with 16 divisors. Its prime factorisation is × 17 × 37. Divisors (16): 1, 3, 9, 17, 27, 37, 51, 111, 153, 333, 459, 629, 999, 1887, 5661, 16983.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16983: a Harshad number: divisible by its digit sum 27.
- 2
16983 is composite. Its prime factorisation is
- 3
The divisors add up to 27360; without 16983 itself that is 10377, so 16983 is deficient (10377 is less than 16983). Euler's totient φ(16983) = 10368 numbers up to 16983 share no factor with it.
- 4
The digits of 16983 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 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16983 = 3^{3} \times 17 \times 37 \]16983 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27360 |
| Euler totient φ(n) | 10368 |
| Square | 288422289 |
| Cube | 4898275734087 |
| Square root | 130.318840 (= 3√1887) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.6983 × |
16983 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and eighty-three |
| Binary (base 2) | 100001001010111 |
| Octal (base 8) | 41127 |
| Hexadecimal (base 16) | 4257 |
| Base 3 | 212022000 |
| As time | 16983 seconds = 4 h 43 min 3 s |
Is 16983 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 (16983 ÷ 3 = 5661) | 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 3) | 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 1) | 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 | Yes (16983 ÷ 9 = 1887) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16983 a prime number?
No. 16983 = × 17 × 37, so it is divisible by 3.
What are the factors of 16983?
1, 3, 9, 17, 27, 37, 51, 111, 153, 333, 459, 629, 999, 1887, 5661, 16983.
What is 16983 in binary?
100001001010111 (hexadecimal 4257, octal 41127).
What is the square root of 16983?
About 130.3188, exactly 3√1887.
Is 16983 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 16983?
16983 is a Harshad number: divisible by its digit sum 27.