The number 16889
16889 is the 1948th prime number. Its only divisors are 1 and 16889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16889: the 1948th prime number.
- 2
16889 is prime, so its only factors are 1 and 16889. It is the 1948th prime; the next prime is 16901 and the one before is 16883.
- 3
The divisors add up to 16890; without 16889 itself that is 1, so 16889 is deficient (1 is less than 16889). Euler's totient φ(16889) = 16888 numbers up to 16889 share no factor with it.
- 4
The digits of 16889 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
16889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16890 |
| Euler totient φ(n) | 16888 |
| Square | 285238321 |
| Cube | 4817390003369 |
| Square root | 129.957685 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.6889 × |
16889 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand eight hundred and eighty-nine |
| Binary (base 2) | 100000111111001 |
| Octal (base 8) | 40771 |
| Hexadecimal (base 16) | 41F9 |
| Base 3 | 212011112 |
| As time | 16889 seconds = 4 h 41 min 29 s |
Is 16889 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16889 a prime number?
Yes. 16889 is divisible only by 1 and itself.
What are the factors of 16889?
1, 16889.
What is 16889 in binary?
100000111111001 (hexadecimal 41F9, octal 40771).
What is the square root of 16889?
About 129.9577.
Is 16889 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 16889?
16889 is the 1948th prime number.