The number 1068
1068 is a composite number with 12 divisors. Its prime factorisation is × 3 × 89. Divisors (12): 1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1068 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1068 is composite. Its prime factorisation is
- 3
The divisors add up to 2520; without 1068 itself that is 1452, so 1068 is abundant (1452 is more than 1068). Euler's totient φ(1068) = 352 numbers up to 1068 share no factor with it.
- 4
The digits of 1068 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 23 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1068 = 2^{2} \times 3 \times 89 \]1068 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2520 |
| Euler totient φ(n) | 352 |
| Square | 1140624 |
| Cube | 1218186432 |
| Square root | 32.680269 (= 2√267) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 23 |
| Scientific notation | 1.068 × |
1068 in other forms
| Form | Value |
|---|---|
| In words | one thousand and sixty-eight |
| Roman numerals | MLXVIII |
| Binary (base 2) | 10000101100 |
| Octal (base 8) | 2054 |
| Hexadecimal (base 16) | 42C |
| Base 3 | 1110120 |
| As time | 1068 seconds = 17 min 48 s |
Is 1068 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1068 ÷ 2 = 534) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1068 ÷ 3 = 356) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1068 ÷ 4 = 267) | 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 | Yes (1068 ÷ 6 = 178) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1068 ÷ 12 = 89) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1068 a prime number?
No. 1068 = × 3 × 89, so it is divisible by 2.
What are the factors of 1068?
1, 2, 3, 4, 6, 12, 89, 178, 267, 356, 534, 1068.
What is 1068 in binary?
10000101100 (hexadecimal 42C, octal 2054).
What is the square root of 1068?
About 32.6803, exactly 2√267.
What is 1068 in Roman numerals?
MLXVIII.
Is 1068 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1068?
It is a composite number with 12 divisors.