The number 13441
13441 is the 1593rd prime number. Its only divisors are 1 and 13441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13441: the 1593rd prime number.
- 2
13441 is prime, so its only factors are 1 and 13441. It is the 1593rd prime; the next prime is 13451 and the one before is 13421.
- 3
The divisors add up to 13442; without 13441 itself that is 1, so 13441 is deficient (1 is less than 13441). Euler's totient φ(13441) = 13440 numbers up to 13441 share no factor with it.
- 4
The digits of 13441 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
13441 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13442 |
| Euler totient φ(n) | 13440 |
| Square | 180660481 |
| Cube | 2428257525121 |
| Square root | 115.935327 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3441 × |
13441 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and forty-one |
| Binary (base 2) | 11010010000001 |
| Octal (base 8) | 32201 |
| Hexadecimal (base 16) | 3481 |
| Base 3 | 200102211 |
| As time | 13441 seconds = 3 h 44 min 1 s |
Is 13441 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 1) | 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 4) | 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 13441 a prime number?
Yes. 13441 is divisible only by 1 and itself.
What are the factors of 13441?
1, 13441.
What is 13441 in binary?
11010010000001 (hexadecimal 3481, octal 32201).
What is the square root of 13441?
About 115.9353.
Is 13441 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13441?
13441 is the 1593rd prime number.