The number 12441
12441 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 29. Divisors (16): 1, 3, 11, 13, 29, 33, 39, 87, 143, 319, 377, 429, 957, 1131, 4147, 12441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12441 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12441 is composite. Its prime factorisation is
- 3
The divisors add up to 20160; without 12441 itself that is 7719, so 12441 is deficient (7719 is less than 12441). Euler's totient φ(12441) = 6720 numbers up to 12441 share no factor with it.
- 4
The digits of 12441 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12441 = 3 \times 11 \times 13 \times 29 \]
12441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20160 |
| Euler totient φ(n) | 6720 |
| Square | 154778481 |
| Cube | 1925599082121 |
| Square root | 111.539231 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.2441 × |
12441 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and forty-one |
| Binary (base 2) | 11000010011001 |
| Octal (base 8) | 30231 |
| Hexadecimal (base 16) | 3099 |
| Base 3 | 122001210 |
| As time | 12441 seconds = 3 h 27 min 21 s |
Is 12441 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 (12441 ÷ 3 = 4147) | 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 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 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 | Yes (12441 ÷ 11 = 1131) | 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 12441 a prime number?
No. 12441 = 3 × 11 × 13 × 29, so it is divisible by 3.
What are the factors of 12441?
1, 3, 11, 13, 29, 33, 39, 87, 143, 319, 377, 429, 957, 1131, 4147, 12441.
What is 12441 in binary?
11000010011001 (hexadecimal 3099, octal 30231).
What is the square root of 12441?
About 111.5392.
Is 12441 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 12441?
It is a composite number with 16 divisors.