The number 9441
9441 is a composite number with 6 divisors. Its prime factorisation is × 1049. Divisors (6): 1, 3, 9, 1049, 3147, 9441.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9441 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9441 is composite. Its prime factorisation is
- 3
The divisors add up to 13650; without 9441 itself that is 4209, so 9441 is deficient (4209 is less than 9441). Euler's totient φ(9441) = 6288 numbers up to 9441 share no factor with it.
- 4
The digits of 9441 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9441 = 3^{2} \times 1049 \]9441 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 13650 |
| Euler totient φ(n) | 6288 |
| Square | 89132481 |
| Cube | 841499753121 |
| Square root | 97.164808 (= 3√1049) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.441 × |
9441 in other forms
| Form | Value |
|---|---|
| In words | nine thousand four hundred and forty-one |
| Binary (base 2) | 10010011100001 |
| Octal (base 8) | 22341 |
| Hexadecimal (base 16) | 24E1 |
| Base 3 | 110221200 |
| As time | 9441 seconds = 2 h 37 min 21 s |
Is 9441 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 (9441 ÷ 3 = 3147) | 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 5) | 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 | Yes (9441 ÷ 9 = 1049) | 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 9441 a prime number?
No. 9441 = × 1049, so it is divisible by 3.
What are the factors of 9441?
1, 3, 9, 1049, 3147, 9441.
What is 9441 in binary?
10010011100001 (hexadecimal 24E1, octal 22341).
What is the square root of 9441?
About 97.1648, exactly 3√1049.
Is 9441 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9441?
It is a composite number with 6 divisors.