The number 13841
13841 is the 1636th prime number. Its only divisors are 1 and 13841.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13841: the 1636th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13841 is prime, so its only factors are 1 and 13841. It is the 1636th prime; the next prime is 13859 and the one before is 13831.
- 3
The divisors add up to 13842; without 13841 itself that is 1, so 13841 is deficient (1 is less than 13841). Euler's totient φ(13841) = 13840 numbers up to 13841 share no factor with it.
- 4
The digits of 13841 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
13841 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13842 |
| Euler totient φ(n) | 13840 |
| Square | 191573281 |
| Cube | 2651565782321 |
| Square root | 117.647779 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3841 × |
13841 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and forty-one |
| Binary (base 2) | 11011000010001 |
| Octal (base 8) | 33021 |
| Hexadecimal (base 16) | 3611 |
| Base 3 | 200222122 |
| As time | 13841 seconds = 3 h 50 min 41 s |
Is 13841 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 2) | 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 8) | 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 3) | 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 13841 a prime number?
Yes. 13841 is divisible only by 1 and itself.
What are the factors of 13841?
1, 13841.
What is 13841 in binary?
11011000010001 (hexadecimal 3611, octal 33021).
What is the square root of 13841?
About 117.6478.
Is 13841 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13841?
13841 is the 1636th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.