The number 16067
16067 is a twin prime (16067 and 16069 are both prime) and the 1869th prime number. Its only divisors are 1 and 16067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16067: a twin prime (16067 and 16069 are both prime); the 1869th prime number.
- 2
16067 is prime, so its only factors are 1 and 16067. It is the 1869th prime; the next prime is 16069 and the one before is 16063.
- 3
The divisors add up to 16068; without 16067 itself that is 1, so 16067 is deficient (1 is less than 16067). Euler's totient φ(16067) = 16066 numbers up to 16067 share no factor with it.
- 4
The digits of 16067 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
16067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 16068 |
| Euler totient φ(n) | 16066 |
| Square | 258148489 |
| Cube | 4147671772763 |
| Square root | 126.755670 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6067 × |
16067 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and sixty-seven |
| Binary (base 2) | 11111011000011 |
| Octal (base 8) | 37303 |
| Hexadecimal (base 16) | 3EC3 |
| Base 3 | 211001002 |
| As time | 16067 seconds = 4 h 27 min 47 s |
Is 16067 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 2) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16067 a prime number?
Yes. 16067 is divisible only by 1 and itself.
What are the factors of 16067?
1, 16067.
What is 16067 in binary?
11111011000011 (hexadecimal 3EC3, octal 37303).
What is the square root of 16067?
About 126.7557.
Is 16067 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 16067?
16067 is a twin prime (16067 and 16069 are both prime); the 1869th prime number.