The number 16189
16189 is a twin prime (16187 and 16189 are both prime) and the 1882nd prime number. Its only divisors are 1 and 16189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16189: a twin prime (16187 and 16189 are both prime); the 1882nd prime number.
- 2
16189 is prime, so its only factors are 1 and 16189. It is the 1882nd prime; the next prime is 16193 and the one before is 16187.
- 3
The divisors add up to 16190; without 16189 itself that is 1, so 16189 is deficient (1 is less than 16189). Euler's totient φ(16189) = 16188 numbers up to 16189 share no factor with it.
- 4
The digits of 16189 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 159 steps to reach 1.
16189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16190 |
| Euler totient φ(n) | 16188 |
| Square | 262083721 |
| Cube | 4242873359269 |
| Square root | 127.236001 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6189 × |
16189 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and eighty-nine |
| Binary (base 2) | 11111100111101 |
| Octal (base 8) | 37475 |
| Hexadecimal (base 16) | 3F3D |
| Base 3 | 211012121 |
| As time | 16189 seconds = 4 h 29 min 49 s |
Is 16189 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 1) | 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16189 a prime number?
Yes. 16189 is divisible only by 1 and itself.
What are the factors of 16189?
1, 16189.
What is 16189 in binary?
11111100111101 (hexadecimal 3F3D, octal 37475).
What is the square root of 16189?
About 127.2360.
Is 16189 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 16189?
16189 is a twin prime (16187 and 16189 are both prime); the 1882nd prime number.