The number 12241
12241 is a twin prime (12239 and 12241 are both prime) and the 1463rd prime number. Its only divisors are 1 and 12241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12241: a twin prime (12239 and 12241 are both prime); the 1463rd prime number.
- 2
12241 is prime, so its only factors are 1 and 12241. It is the 1463rd prime; the next prime is 12251 and the one before is 12239.
- 3
The divisors add up to 12242; without 12241 itself that is 1, so 12241 is deficient (1 is less than 12241). Euler's totient φ(12241) = 12240 numbers up to 12241 share no factor with it.
- 4
The digits of 12241 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
12241 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12242 |
| Euler totient φ(n) | 12240 |
| Square | 149842081 |
| Cube | 1834216913521 |
| Square root | 110.639053 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 63 |
| Scientific notation | 1.2241 × |
12241 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and forty-one |
| Binary (base 2) | 10111111010001 |
| Octal (base 8) | 27721 |
| Hexadecimal (base 16) | 2FD1 |
| Base 3 | 121210101 |
| As time | 12241 seconds = 3 h 24 min 1 s |
Is 12241 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 5) | 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 1) | 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 9) | 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 12241 a prime number?
Yes. 12241 is divisible only by 1 and itself.
What are the factors of 12241?
1, 12241.
What is 12241 in binary?
10111111010001 (hexadecimal 2FD1, octal 27721).
What is the square root of 12241?
About 110.6391.
Is 12241 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12241?
12241 is a twin prime (12239 and 12241 are both prime); the 1463rd prime number.