The number 10842
10842 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 139. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 139, 278, 417, 834, 1807, 3614, 5421, 10842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10842 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 10842 itself that is 12678, so 10842 is abundant (12678 is more than 10842). Euler's totient φ(10842) = 3312 numbers up to 10842 share no factor with it.
- 4
The digits of 10842 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10842 = 2 \times 3 \times 13 \times 139 \]
10842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 3312 |
| Square | 117548964 |
| Cube | 1274465867688 |
| Square root | 104.124925 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 117 |
| Scientific notation | 1.0842 × |
10842 in other forms
| Form | Value |
|---|---|
| In words | ten thousand eight hundred and forty-two |
| Binary (base 2) | 10101001011010 |
| Octal (base 8) | 25132 |
| Hexadecimal (base 16) | 2A5A |
| Base 3 | 112212120 |
| As time | 10842 seconds = 3 h 0 min 42 s |
Is 10842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10842 ÷ 2 = 5421) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10842 ÷ 3 = 3614) | 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 (10842 ÷ 6 = 1807) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10842 a prime number?
No. 10842 = 2 × 3 × 13 × 139, so it is divisible by 2.
What are the factors of 10842?
1, 2, 3, 6, 13, 26, 39, 78, 139, 278, 417, 834, 1807, 3614, 5421, 10842.
What is 10842 in binary?
10101001011010 (hexadecimal 2A5A, octal 25132).
What is the square root of 10842?
About 104.1249.
Is 10842 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 10842?
It is a composite number with 16 divisors.