The number 1106
1106 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 79. Divisors (8): 1, 2, 7, 14, 79, 158, 553, 1106.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1106 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1106 is composite. Its prime factorisation is
- 3
The divisors add up to 1920; without 1106 itself that is 814, so 1106 is deficient (814 is less than 1106). Euler's totient φ(1106) = 468 numbers up to 1106 share no factor with it.
- 4
The digits of 1106 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1106 = 2 \times 7 \times 79 \]
1106 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 1920 |
| Euler totient φ(n) | 468 |
| Square | 1223236 |
| Cube | 1352899016 |
| Square root | 33.256578 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 137 |
| Scientific notation | 1.106 × |
1106 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and six |
| Roman numerals | MCVI |
| Binary (base 2) | 10001010010 |
| Octal (base 8) | 2122 |
| Hexadecimal (base 16) | 452 |
| Base 3 | 1111222 |
| As time | 1106 seconds = 18 min 26 s |
Is 1106 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1106 ÷ 2 = 553) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (1106 ÷ 7 = 158) | 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 2) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1106 a prime number?
No. 1106 = 2 × 7 × 79, so it is divisible by 2.
What are the factors of 1106?
1, 2, 7, 14, 79, 158, 553, 1106.
What is 1106 in binary?
10001010010 (hexadecimal 452, octal 2122).
What is the square root of 1106?
About 33.2566.
What is 1106 in Roman numerals?
MCVI.
Is 1106 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1106?
It is a composite number with 8 divisors.