The number 3067
3067 is the 439th prime number. Its only divisors are 1 and 3067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3067: the 439th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3067 is prime, so its only factors are 1 and 3067. It is the 439th prime; the next prime is 3079 and the one before is 3061.
- 3
The divisors add up to 3068; without 3067 itself that is 1, so 3067 is deficient (1 is less than 3067). Euler's totient φ(3067) = 3066 numbers up to 3067 share no factor with it.
- 4
The digits of 3067 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
3067 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 3068 |
| Euler totient φ(n) | 3066 |
| Square | 9406489 |
| Cube | 28849701763 |
| Square root | 55.380502 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.067 × |
3067 in other forms
| Form | Value |
|---|---|
| In words | three thousand and sixty-seven |
| Roman numerals | MMMLXVII |
| Binary (base 2) | 101111111011 |
| Octal (base 8) | 5773 |
| Hexadecimal (base 16) | BFB |
| Base 3 | 11012121 |
| As time | 3067 seconds = 51 min 7 s |
Is 3067 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3067 a prime number?
Yes. 3067 is divisible only by 1 and itself.
What are the factors of 3067?
1, 3067.
What is 3067 in binary?
101111111011 (hexadecimal BFB, octal 5773).
What is the square root of 3067?
About 55.3805.
What is 3067 in Roman numerals?
MMMLXVII.
Is 3067 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 3067?
3067 is the 439th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.