The number 13241
13241 is the 1574th prime number. Its only divisors are 1 and 13241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13241: the 1574th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13241 is prime, so its only factors are 1 and 13241. It is the 1574th prime; the next prime is 13249 and the one before is 13229.
- 3
The divisors add up to 13242; without 13241 itself that is 1, so 13241 is deficient (1 is less than 13241). Euler's totient φ(13241) = 13240 numbers up to 13241 share no factor with it.
- 4
The digits of 13241 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 120 steps to reach 1.
13241 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13242 |
| Euler totient φ(n) | 13240 |
| Square | 175324081 |
| Cube | 2321466156521 |
| Square root | 115.069544 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 120 |
| Scientific notation | 1.3241 × |
13241 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and forty-one |
| Binary (base 2) | 11001110111001 |
| Octal (base 8) | 31671 |
| Hexadecimal (base 16) | 33B9 |
| Base 3 | 200011102 |
| As time | 13241 seconds = 3 h 40 min 41 s |
Is 13241 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 2) | 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 5) | 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 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13241 a prime number?
Yes. 13241 is divisible only by 1 and itself.
What are the factors of 13241?
1, 13241.
What is 13241 in binary?
11001110111001 (hexadecimal 33B9, octal 31671).
What is the square root of 13241?
About 115.0695.
Is 13241 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13241?
13241 is the 1574th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.