The number 1067
1067 is a composite number with 4 divisors. Its prime factorisation is 11 × 97. Divisors (4): 1, 11, 97, 1067.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1067: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 97, the product of two primes.
- 2
1067 is composite. Its prime factorisation is
- 3
The divisors add up to 1176; without 1067 itself that is 109, so 1067 is deficient (109 is less than 1067). Euler's totient φ(1067) = 960 numbers up to 1067 share no factor with it.
- 4
The digits of 1067 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1067 = 11 \times 97 \]
1067 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1176 |
| Euler totient φ(n) | 960 |
| Square | 1138489 |
| Cube | 1214767763 |
| Square root | 32.664966 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 62 |
| Scientific notation | 1.067 × |
1067 in other forms
| Form | Value |
|---|---|
| In words | one thousand and sixty-seven |
| Roman numerals | MLXVII |
| Binary (base 2) | 10000101011 |
| Octal (base 8) | 2053 |
| Hexadecimal (base 16) | 42B |
| Base 3 | 1110112 |
| As time | 1067 seconds = 17 min 47 s |
Is 1067 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 3) | 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 5) | 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 | Yes (1067 ÷ 11 = 97) | 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 1067 a prime number?
No. 1067 = 11 × 97, so it is divisible by 11.
What are the factors of 1067?
1, 11, 97, 1067.
What is 1067 in binary?
10000101011 (hexadecimal 42B, octal 2053).
What is the square root of 1067?
About 32.6650.
What is 1067 in Roman numerals?
MLXVII.
Is 1067 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 1067?
1067 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 97, the product of two primes.