The number 9741
9741 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 191. Divisors (8): 1, 3, 17, 51, 191, 573, 3247, 9741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9741 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9741 is composite. Its prime factorisation is
- 3
The divisors add up to 13824; without 9741 itself that is 4083, so 9741 is deficient (4083 is less than 9741). Euler's totient φ(9741) = 6080 numbers up to 9741 share no factor with it.
- 4
The digits of 9741 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9741 = 3 \times 17 \times 191 \]
9741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 13824 |
| Euler totient φ(n) | 6080 |
| Square | 94887081 |
| Cube | 924295056021 |
| Square root | 98.696504 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.741 × |
9741 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-one |
| Binary (base 2) | 10011000001101 |
| Octal (base 8) | 23015 |
| Hexadecimal (base 16) | 260D |
| Base 3 | 111100210 |
| As time | 9741 seconds = 2 h 42 min 21 s |
Is 9741 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 (9741 ÷ 3 = 3247) | 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 4) | 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 6) | 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 9741 a prime number?
No. 9741 = 3 × 17 × 191, so it is divisible by 3.
What are the factors of 9741?
1, 3, 17, 51, 191, 573, 3247, 9741.
What is 9741 in binary?
10011000001101 (hexadecimal 260D, octal 23015).
What is the square root of 9741?
About 98.6965.
Is 9741 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 9741?
It is a composite number with 8 divisors.