The number 19842
19842 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 3307. Divisors (8): 1, 2, 3, 6, 3307, 6614, 9921, 19842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
19842 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
19842 is composite. Its prime factorisation is
- 3
The divisors add up to 39696; without 19842 itself that is 19854, so 19842 is abundant (19854 is more than 19842). Euler's totient φ(19842) = 6612 numbers up to 19842 share no factor with it.
- 4
The digits of 19842 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 19842 = 2 \times 3 \times 3307 \]
19842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 39696 |
| Euler totient φ(n) | 6612 |
| Square | 393704964 |
| Cube | 7811893895688 |
| Square root | 140.861634 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 136 |
| Scientific notation | 1.9842 × |
19842 in other forms
| Form | Value |
|---|---|
| In words | nineteen thousand eight hundred and forty-two |
| Binary (base 2) | 100110110000010 |
| Octal (base 8) | 46602 |
| Hexadecimal (base 16) | 4D82 |
| Base 3 | 1000012220 |
| As time | 19842 seconds = 5 h 30 min 42 s |
Is 19842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (19842 ÷ 2 = 9921) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (19842 ÷ 3 = 6614) | 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 (19842 ÷ 6 = 3307) | 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 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 9) | 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 19842 a prime number?
No. 19842 = 2 × 3 × 3307, so it is divisible by 2.
What are the factors of 19842?
1, 2, 3, 6, 3307, 6614, 9921, 19842.
What is 19842 in binary?
100110110000010 (hexadecimal 4D82, octal 46602).
What is the square root of 19842?
About 140.8616.
Is 19842 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 19842?
It is a composite number with 8 divisors.