The number 241
241 is a twin prime (239 and 241 are both prime) and the 53rd prime number. Its only divisors are 1 and 241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 241: a twin prime (239 and 241 are both prime); the 53rd prime number.
- 2
241 is prime, so its only factors are 1 and 241. It is the 53rd prime; the next prime is 251 and the one before is 239.
- 3
The divisors add up to 242; without 241 itself that is 1, so 241 is deficient (1 is less than 241). Euler's totient φ(241) = 240 numbers up to 241 share no factor with it.
- 4
The digits of 241 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 21 steps to reach 1.
241 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 242 |
| Euler totient φ(n) | 240 |
| Square | 58081 |
| Cube | 13997521 |
| Square root | 15.524175 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 21 |
| Scientific notation | 2.41 × |
241 in other forms
| Form | Value |
|---|---|
| In words | two hundred and forty-one |
| Roman numerals | CCXLI |
| Binary (base 2) | 11110001 |
| Octal (base 8) | 361 |
| Hexadecimal (base 16) | F1 |
| Base 3 | 22221 |
| As time | 241 seconds = 4 min 1 s |
Is 241 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 241 a prime number?
Yes. 241 is divisible only by 1 and itself.
What are the factors of 241?
1, 241.
What is 241 in binary?
11110001 (hexadecimal F1, octal 361).
What is the square root of 241?
About 15.5242.
What is 241 in Roman numerals?
CCXLI.
Is 241 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 241?
241 is a twin prime (239 and 241 are both prime); the 53rd prime number.