The number 9342
9342 is a composite number with 16 divisors. Its prime factorisation is 2 × × 173. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9342: a Harshad number: divisible by its digit sum 18.
- 2
9342 is composite. Its prime factorisation is
- 3
The divisors add up to 20880; without 9342 itself that is 11538, so 9342 is abundant (11538 is more than 9342). Euler's totient φ(9342) = 3096 numbers up to 9342 share no factor with it.
- 4
The digits of 9342 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9342 = 2 \times 3^{3} \times 173 \]9342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 20880 |
| Euler totient φ(n) | 3096 |
| Square | 87272964 |
| Cube | 815304029688 |
| Square root | 96.654022 (= 3√1038) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 9.342 × |
9342 in other forms
| Form | Value |
|---|---|
| In words | nine thousand three hundred and forty-two |
| Binary (base 2) | 10010001111110 |
| Octal (base 8) | 22176 |
| Hexadecimal (base 16) | 247E |
| Base 3 | 110211000 |
| As time | 9342 seconds = 2 h 35 min 42 s |
Is 9342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9342 ÷ 2 = 4671) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (9342 ÷ 3 = 3114) | 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 | Yes (9342 ÷ 6 = 1557) | 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 | Yes (9342 ÷ 9 = 1038) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9342 a prime number?
No. 9342 = 2 × × 173, so it is divisible by 2.
What are the factors of 9342?
1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342.
What is 9342 in binary?
10010001111110 (hexadecimal 247E, octal 22176).
What is the square root of 9342?
About 96.6540, exactly 3√1038.
Is 9342 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 9342?
9342 is a Harshad number: divisible by its digit sum 18.