The number 9542
9542 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 367. Divisors (8): 1, 2, 13, 26, 367, 734, 4771, 9542.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9542 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9542 is composite. Its prime factorisation is
- 3
The divisors add up to 15456; without 9542 itself that is 5914, so 9542 is deficient (5914 is less than 9542). Euler's totient φ(9542) = 4392 numbers up to 9542 share no factor with it.
- 4
The digits of 9542 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9542 = 2 \times 13 \times 367 \]
9542 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15456 |
| Euler totient φ(n) | 4392 |
| Square | 91049764 |
| Cube | 868796848088 |
| Square root | 97.683161 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 104 |
| Scientific notation | 9.542 × |
9542 in other forms
| Form | Value |
|---|---|
| In words | nine thousand five hundred and forty-two |
| Binary (base 2) | 10010101000110 |
| Octal (base 8) | 22506 |
| Hexadecimal (base 16) | 2546 |
| Base 3 | 111002102 |
| As time | 9542 seconds = 2 h 39 min 2 s |
Is 9542 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9542 ÷ 2 = 4771) | 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 2) | 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 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 9542 a prime number?
No. 9542 = 2 × 13 × 367, so it is divisible by 2.
What are the factors of 9542?
1, 2, 13, 26, 367, 734, 4771, 9542.
What is 9542 in binary?
10010101000110 (hexadecimal 2546, octal 22506).
What is the square root of 9542?
About 97.6832.
Is 9542 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 9542?
It is a composite number with 8 divisors.