The number 9745
9745 is a composite number with 4 divisors. Its prime factorisation is 5 × 1949. Divisors (4): 1, 5, 1949, 9745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9745: a semiprime: 5 × 1949, the product of two primes.
- 2
9745 is composite. Its prime factorisation is
- 3
The divisors add up to 11700; without 9745 itself that is 1955, so 9745 is deficient (1955 is less than 9745). Euler's totient φ(9745) = 7792 numbers up to 9745 share no factor with it.
- 4
The digits of 9745 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9745 = 5 \times 1949 \]
9745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11700 |
| Euler totient φ(n) | 7792 |
| Square | 94965025 |
| Cube | 925434168625 |
| Square root | 98.716767 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.745 × |
9745 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-five |
| Binary (base 2) | 10011000010001 |
| Octal (base 8) | 23021 |
| Hexadecimal (base 16) | 2611 |
| Base 3 | 111100221 |
| As time | 9745 seconds = 2 h 42 min 25 s |
Is 9745 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 | No (remainder 1) | 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 | Yes (9745 ÷ 5 = 1949) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9745 a prime number?
No. 9745 = 5 × 1949, so it is divisible by 5.
What are the factors of 9745?
1, 5, 1949, 9745.
What is 9745 in binary?
10011000010001 (hexadecimal 2611, octal 23021).
What is the square root of 9745?
About 98.7168.
Is 9745 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 9745?
9745 is a semiprime: 5 × 1949, the product of two primes.