The number 9734
9734 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 157. Divisors (8): 1, 2, 31, 62, 157, 314, 4867, 9734.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9734 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9734 is composite. Its prime factorisation is
- 3
The divisors add up to 15168; without 9734 itself that is 5434, so 9734 is deficient (5434 is less than 9734). Euler's totient φ(9734) = 4680 numbers up to 9734 share no factor with it.
- 4
The digits of 9734 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9734 = 2 \times 31 \times 157 \]
9734 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15168 |
| Euler totient φ(n) | 4680 |
| Square | 94750756 |
| Cube | 922303858904 |
| Square root | 98.661036 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.734 × |
9734 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and thirty-four |
| Binary (base 2) | 10011000000110 |
| Octal (base 8) | 23006 |
| Hexadecimal (base 16) | 2606 |
| Base 3 | 111100112 |
| As time | 9734 seconds = 2 h 42 min 14 s |
Is 9734 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9734 ÷ 2 = 4867) | 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 2) | 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 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9734 a prime number?
No. 9734 = 2 × 31 × 157, so it is divisible by 2.
What are the factors of 9734?
1, 2, 31, 62, 157, 314, 4867, 9734.
What is 9734 in binary?
10011000000110 (hexadecimal 2606, octal 23006).
What is the square root of 9734?
About 98.6610.
Is 9734 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9734?
It is a composite number with 8 divisors.