The number 3068
3068 is a composite number with 12 divisors. Its prime factorisation is × 13 × 59. Divisors (12): 1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534, 3068.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3068: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
3068 is composite. Its prime factorisation is
- 3
The divisors add up to 5880; without 3068 itself that is 2812, so 3068 is deficient (2812 is less than 3068). Euler's totient φ(3068) = 1392 numbers up to 3068 share no factor with it.
- 4
The digits of 3068 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3068 = 2^{2} \times 13 \times 59 \]3068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 5880 |
| Euler totient φ(n) | 1392 |
| Square | 9412624 |
| Cube | 28877930432 |
| Square root | 55.389530 (= 2√767) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 61 |
| Scientific notation | 3.068 × |
3068 in other forms
| Form | Value |
|---|---|
| In words | three thousand and sixty-eight |
| Roman numerals | MMMLXVIII |
| Binary (base 2) | 101111111100 |
| Octal (base 8) | 5774 |
| Hexadecimal (base 16) | BFC |
| Base 3 | 11012122 |
| As time | 3068 seconds = 51 min 8 s |
Is 3068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (3068 ÷ 2 = 1534) | 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 | Yes (3068 ÷ 4 = 767) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3068 a prime number?
No. 3068 = × 13 × 59, so it is divisible by 2.
What are the factors of 3068?
1, 2, 4, 13, 26, 52, 59, 118, 236, 767, 1534, 3068.
What is 3068 in binary?
101111111100 (hexadecimal BFC, octal 5774).
What is the square root of 3068?
About 55.3895, exactly 2√767.
What is 3068 in Roman numerals?
MMMLXVIII.
Is 3068 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3068?
3068 is a happy number: repeatedly adding the squares of its digits reaches 1.