The number 182
182 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 13. Divisors (8): 1, 2, 7, 13, 14, 26, 91, 182.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
182 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
182 is composite. Its prime factorisation is
- 3
The divisors add up to 336; without 182 itself that is 154, so 182 is deficient (154 is less than 182). Euler's totient φ(182) = 72 numbers up to 182 share no factor with it.
- 4
The digits of 182 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
LaTeX source of the formulas on this page
\[ 182 = 2 \times 7 \times 13 \]
182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 336 |
| Euler totient φ(n) | 72 |
| Square | 33124 |
| Cube | 6028568 |
| Square root | 13.490738 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 93 |
| Scientific notation | 1.82 × |
182 in other forms
| Form | Value |
|---|---|
| In words | one hundred and eighty-two |
| Roman numerals | CLXXXII |
| Binary (base 2) | 10110110 |
| Octal (base 8) | 266 |
| Hexadecimal (base 16) | B6 |
| Base 3 | 20202 |
| As time | 182 seconds = 3 min 2 s |
Is 182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (182 ÷ 2 = 91) | 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 2) | 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 (182 ÷ 7 = 26) | 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 2) | 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 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 182 a prime number?
No. 182 = 2 × 7 × 13, so it is divisible by 2.
What are the factors of 182?
1, 2, 7, 13, 14, 26, 91, 182.
What is 182 in binary?
10110110 (hexadecimal B6, octal 266).
What is the square root of 182?
About 13.4907.
What is 182 in Roman numerals?
CLXXXII.
Is 182 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 182?
It is a composite number with 8 divisors.