The number 13341
13341 is a composite number with 4 divisors. Its prime factorisation is 3 × 4447. Divisors (4): 1, 3, 4447, 13341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13341: a semiprime: 3 × 4447, the product of two primes.
- 2
13341 is composite. Its prime factorisation is
- 3
The divisors add up to 17792; without 13341 itself that is 4451, so 13341 is deficient (4451 is less than 13341). Euler's totient φ(13341) = 8892 numbers up to 13341 share no factor with it.
- 4
The digits of 13341 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13341 = 3 \times 4447 \]
13341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17792 |
| Euler totient φ(n) | 8892 |
| Square | 177982281 |
| Cube | 2374461610821 |
| Square root | 115.503247 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3341 × |
13341 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty-one |
| Binary (base 2) | 11010000011101 |
| Octal (base 8) | 32035 |
| Hexadecimal (base 16) | 341D |
| Base 3 | 200022010 |
| As time | 13341 seconds = 3 h 42 min 21 s |
Is 13341 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 | Yes (13341 ÷ 3 = 4447) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13341 a prime number?
No. 13341 = 3 × 4447, so it is divisible by 3.
What are the factors of 13341?
1, 3, 4447, 13341.
What is 13341 in binary?
11010000011101 (hexadecimal 341D, octal 32035).
What is the square root of 13341?
About 115.5032.
Is 13341 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 13341?
13341 is a semiprime: 3 × 4447, the product of two primes.