The number 27241
27241 is a twin prime (27239 and 27241 are both prime) and the 2982nd prime number. Its only divisors are 1 and 27241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27241: a twin prime (27239 and 27241 are both prime); the 2982nd prime number.
- 2
27241 is prime, so its only factors are 1 and 27241. It is the 2982nd prime; the next prime is 27253 and the one before is 27239.
- 3
The divisors add up to 27242; without 27241 itself that is 1, so 27241 is deficient (1 is less than 27241). Euler's totient φ(27241) = 27240 numbers up to 27241 share no factor with it.
- 4
The digits of 27241 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
27241 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27242 |
| Euler totient φ(n) | 27240 |
| Square | 742072081 |
| Cube | 20214785558521 |
| Square root | 165.048478 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7241 × |
27241 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand two hundred and forty-one |
| Binary (base 2) | 110101001101001 |
| Octal (base 8) | 65151 |
| Hexadecimal (base 16) | 6A69 |
| Base 3 | 1101100221 |
| As time | 27241 seconds = 7 h 34 min 1 s |
Is 27241 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 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 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 5) | 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 27241 a prime number?
Yes. 27241 is divisible only by 1 and itself.
What are the factors of 27241?
1, 27241.
What is 27241 in binary?
110101001101001 (hexadecimal 6A69, octal 65151).
What is the square root of 27241?
About 165.0485.
Is 27241 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27241?
27241 is a twin prime (27239 and 27241 are both prime); the 2982nd prime number.