The number 9742
9742 is a composite number with 4 divisors. Its prime factorisation is 2 × 4871. Divisors (4): 1, 2, 4871, 9742.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9742: a semiprime: 2 × 4871, the product of two primes.
- 2
9742 is composite. Its prime factorisation is
- 3
The divisors add up to 14616; without 9742 itself that is 4874, so 9742 is deficient (4874 is less than 9742). Euler's totient φ(9742) = 4870 numbers up to 9742 share no factor with it.
- 4
The digits of 9742 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9742 = 2 \times 4871 \]
9742 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14616 |
| Euler totient φ(n) | 4870 |
| Square | 94906564 |
| Cube | 924579746488 |
| Square root | 98.701570 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 47 |
| Scientific notation | 9.742 × |
9742 in other forms
| Form | Value |
|---|---|
| In words | nine thousand seven hundred and forty-two |
| Binary (base 2) | 10011000001110 |
| Octal (base 8) | 23016 |
| Hexadecimal (base 16) | 260E |
| Base 3 | 111100211 |
| As time | 9742 seconds = 2 h 42 min 22 s |
Is 9742 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9742 ÷ 2 = 4871) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9742 a prime number?
No. 9742 = 2 × 4871, so it is divisible by 2.
What are the factors of 9742?
1, 2, 4871, 9742.
What is 9742 in binary?
10011000001110 (hexadecimal 260E, octal 23016).
What is the square root of 9742?
About 98.7016.
Is 9742 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 9742?
9742 is a semiprime: 2 × 4871, the product of two primes.