The number 16986
16986 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 19 × 149. Divisors (16): 1, 2, 3, 6, 19, 38, 57, 114, 149, 298, 447, 894, 2831, 5662, 8493, 16986.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16986 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16986 is composite. Its prime factorisation is
- 3
The divisors add up to 36000; without 16986 itself that is 19014, so 16986 is abundant (19014 is more than 16986). Euler's totient φ(16986) = 5328 numbers up to 16986 share no factor with it.
- 4
The digits of 16986 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 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16986 = 2 \times 3 \times 19 \times 149 \]
16986 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 36000 |
| Euler totient φ(n) | 5328 |
| Square | 288524196 |
| Cube | 4900871993256 |
| Square root | 130.330349 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6986 × |
16986 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and eighty-six |
| Binary (base 2) | 100001001011010 |
| Octal (base 8) | 41132 |
| Hexadecimal (base 16) | 425A |
| Base 3 | 212022010 |
| As time | 16986 seconds = 4 h 43 min 6 s |
Is 16986 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16986 ÷ 2 = 8493) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16986 ÷ 3 = 5662) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16986 ÷ 6 = 2831) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16986 a prime number?
No. 16986 = 2 × 3 × 19 × 149, so it is divisible by 2.
What are the factors of 16986?
1, 2, 3, 6, 19, 38, 57, 114, 149, 298, 447, 894, 2831, 5662, 8493, 16986.
What is 16986 in binary?
100001001011010 (hexadecimal 425A, octal 41132).
What is the square root of 16986?
About 130.3303.
Is 16986 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 16986?
It is a composite number with 16 divisors.