The number 12741
12741 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 137. Divisors (8): 1, 3, 31, 93, 137, 411, 4247, 12741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12741 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12741 is composite. Its prime factorisation is
- 3
The divisors add up to 17664; without 12741 itself that is 4923, so 12741 is deficient (4923 is less than 12741). Euler's totient φ(12741) = 8160 numbers up to 12741 share no factor with it.
- 4
The digits of 12741 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12741 = 3 \times 31 \times 137 \]
12741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17664 |
| Euler totient φ(n) | 8160 |
| Square | 162333081 |
| Cube | 2068285785021 |
| Square root | 112.876038 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.2741 × |
12741 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty-one |
| Binary (base 2) | 11000111000101 |
| Octal (base 8) | 30705 |
| Hexadecimal (base 16) | 31C5 |
| Base 3 | 122110220 |
| As time | 12741 seconds = 3 h 32 min 21 s |
Is 12741 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 (12741 ÷ 3 = 4247) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12741 a prime number?
No. 12741 = 3 × 31 × 137, so it is divisible by 3.
What are the factors of 12741?
1, 3, 31, 93, 137, 411, 4247, 12741.
What is 12741 in binary?
11000111000101 (hexadecimal 31C5, octal 30705).
What is the square root of 12741?
About 112.8760.
Is 12741 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 12741?
It is a composite number with 8 divisors.