The number 9842
9842 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 19 × 37. Divisors (16): 1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9842 is composite. Its prime factorisation is
- 3
The divisors add up to 18240; without 9842 itself that is 8398, so 9842 is deficient (8398 is less than 9842). Euler's totient φ(9842) = 3888 numbers up to 9842 share no factor with it.
- 4
The digits of 9842 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9842 = 2 \times 7 \times 19 \times 37 \]
9842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 18240 |
| Euler totient φ(n) | 3888 |
| Square | 96864964 |
| Cube | 953344975688 |
| Square root | 99.206855 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 9.842 × |
9842 in other forms
| Form | Value |
|---|---|
| In words | nine thousand eight hundred and forty-two |
| Binary (base 2) | 10011001110010 |
| Octal (base 8) | 23162 |
| Hexadecimal (base 16) | 2672 |
| Base 3 | 111111112 |
| As time | 9842 seconds = 2 h 44 min 2 s |
Is 9842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9842 ÷ 2 = 4921) | 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 | Yes (9842 ÷ 7 = 1406) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 9842 a prime number?
No. 9842 = 2 × 7 × 19 × 37, so it is divisible by 2.
What are the factors of 9842?
1, 2, 7, 14, 19, 37, 38, 74, 133, 259, 266, 518, 703, 1406, 4921, 9842.
What is 9842 in binary?
10011001110010 (hexadecimal 2672, octal 23162).
What is the square root of 9842?
About 99.2069.
Is 9842 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 9842?
It is a composite number with 16 divisors.