The number 9749
9749 is the 1203rd prime number. Its only divisors are 1 and 9749.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9749: the 1203rd prime number.
- 2
9749 is prime, so its only factors are 1 and 9749. It is the 1203rd prime; the next prime is 9767 and the one before is 9743.
- 3
The divisors add up to 9750; without 9749 itself that is 1, so 9749 is deficient (1 is less than 9749). Euler's totient φ(9749) = 9748 numbers up to 9749 share no factor with it.
- 4
The digits of 9749 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
9749 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 9750 |
| Euler totient φ(n) | 9748 |
| Square | 95043001 |
| Cube | 926574216749 |
| Square root | 98.737024 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 135 |
| Scientific notation | 9.749 × |
9749 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-nine |
| Binary (base 2) | 10011000010101 |
| Octal (base 8) | 23025 |
| Hexadecimal (base 16) | 2615 |
| Base 3 | 111101002 |
| As time | 9749 seconds = 2 h 42 min 29 s |
Is 9749 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 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9749 a prime number?
Yes. 9749 is divisible only by 1 and itself.
What are the factors of 9749?
1, 9749.
What is 9749 in binary?
10011000010101 (hexadecimal 2615, octal 23025).
What is the square root of 9749?
About 98.7370.
Is 9749 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 9749?
9749 is the 1203rd prime number.