The number 1182
1182 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 197. Divisors (8): 1, 2, 3, 6, 197, 394, 591, 1182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1182: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
1182 is composite. Its prime factorisation is
- 3
The divisors add up to 2376; without 1182 itself that is 1194, so 1182 is abundant (1194 is more than 1182). Euler's totient φ(1182) = 392 numbers up to 1182 share no factor with it.
- 4
The digits of 1182 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1182 = 2 \times 3 \times 197 \]
1182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2376 |
| Euler totient φ(n) | 392 |
| Square | 1397124 |
| Cube | 1651400568 |
| Square root | 34.380227 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.182 × |
1182 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and eighty-two |
| Roman numerals | MCLXXXII |
| Binary (base 2) | 10010011110 |
| Octal (base 8) | 2236 |
| Hexadecimal (base 16) | 49E |
| Base 3 | 1121210 |
| As time | 1182 seconds = 19 min 42 s |
Is 1182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1182 ÷ 2 = 591) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1182 ÷ 3 = 394) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1182 ÷ 6 = 197) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 1182 a prime number?
No. 1182 = 2 × 3 × 197, so it is divisible by 2.
What are the factors of 1182?
1, 2, 3, 6, 197, 394, 591, 1182.
What is 1182 in binary?
10010011110 (hexadecimal 49E, octal 2236).
What is the square root of 1182?
About 34.3802.
What is 1182 in Roman numerals?
MCLXXXII.
Is 1182 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 1182?
1182 is a happy number: repeatedly adding the squares of its digits reaches 1.