The number 1146
1146 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 191. Divisors (8): 1, 2, 3, 6, 191, 382, 573, 1146.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1146 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1146 is composite. Its prime factorisation is
- 3
The divisors add up to 2304; without 1146 itself that is 1158, so 1146 is abundant (1158 is more than 1146). Euler's totient φ(1146) = 380 numbers up to 1146 share no factor with it.
- 4
The digits of 1146 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1146 = 2 \times 3 \times 191 \]
1146 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2304 |
| Euler totient φ(n) | 380 |
| Square | 1313316 |
| Cube | 1505060136 |
| Square root | 33.852622 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 106 |
| Scientific notation | 1.146 × |
1146 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and forty-six |
| Roman numerals | MCXLVI |
| Binary (base 2) | 10001111010 |
| Octal (base 8) | 2172 |
| Hexadecimal (base 16) | 47A |
| Base 3 | 1120110 |
| As time | 1146 seconds = 19 min 6 s |
Is 1146 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1146 ÷ 2 = 573) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1146 ÷ 3 = 382) | 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 | Yes (1146 ÷ 6 = 191) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1146 a prime number?
No. 1146 = 2 × 3 × 191, so it is divisible by 2.
What are the factors of 1146?
1, 2, 3, 6, 191, 382, 573, 1146.
What is 1146 in binary?
10001111010 (hexadecimal 47A, octal 2172).
What is the square root of 1146?
About 33.8526.
What is 1146 in Roman numerals?
MCXLVI.
Is 1146 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1146?
It is a composite number with 8 divisors.