The number 16989
16989 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 809. Divisors (8): 1, 3, 7, 21, 809, 2427, 5663, 16989.
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How to work it out
- 1
What is special about 16989: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
16989 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 16989 itself that is 8931, so 16989 is deficient (8931 is less than 16989). Euler's totient φ(16989) = 9696 numbers up to 16989 share no factor with it.
- 4
The digits of 16989 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16989 = 3 \times 7 \times 809 \]
16989 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 9696 |
| Square | 288626121 |
| Cube | 4903469169669 |
| Square root | 130.341858 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.6989 × |
16989 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand nine hundred and eighty-nine |
| Binary (base 2) | 100001001011101 |
| Octal (base 8) | 41135 |
| Hexadecimal (base 16) | 425D |
| Base 3 | 212022020 |
| As time | 16989 seconds = 4 h 43 min 9 s |
Is 16989 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 (16989 ÷ 3 = 5663) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16989 ÷ 7 = 2427) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16989 a prime number?
No. 16989 = 3 × 7 × 809, so it is divisible by 3.
What are the factors of 16989?
1, 3, 7, 21, 809, 2427, 5663, 16989.
What is 16989 in binary?
100001001011101 (hexadecimal 425D, octal 41135).
What is the square root of 16989?
About 130.3419.
Is 16989 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 16989?
16989 is a happy number: repeatedly adding the squares of its digits reaches 1.