The number 242
242 is a palindrome: it reads 242 backwards too. Its prime factorisation is 2 × . Divisors (6): 1, 2, 11, 22, 121, 242.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 242: a palindrome: it reads 242 backwards too.
- 2
242 is composite. Its prime factorisation is
- 3
The divisors add up to 399; without 242 itself that is 157, so 242 is deficient (157 is less than 242). Euler's totient φ(242) = 110 numbers up to 242 share no factor with it.
- 4
The digits of 242 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 242 = 2 \times 11^{2} \]242 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 399 |
| Euler totient φ(n) | 110 |
| Square | 58564 |
| Cube | 14172488 |
| Square root | 15.556349 (= 11√2) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 96 |
| Scientific notation | 2.42 × |
242 in other forms
| Form | Value |
|---|---|
| In words | two hundred and forty-two |
| Roman numerals | CCXLII |
| Binary (base 2) | 11110010 |
| Octal (base 8) | 362 |
| Hexadecimal (base 16) | F2 |
| Base 3 | 22222 |
| As time | 242 seconds = 4 min 2 s |
Is 242 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (242 ÷ 2 = 121) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (242 ÷ 11 = 22) | 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 242 a prime number?
No. 242 = 2 × , so it is divisible by 2.
What are the factors of 242?
1, 2, 11, 22, 121, 242.
What is 242 in binary?
11110010 (hexadecimal F2, octal 362).
What is the square root of 242?
About 15.5563, exactly 11√2.
What is 242 in Roman numerals?
CCXLII.
Is 242 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 242?
242 is a palindrome: it reads 242 backwards too.