The number 27842
27842 is a composite number with 4 divisors. Its prime factorisation is 2 × 13921. Divisors (4): 1, 2, 13921, 27842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27842: a semiprime: 2 × 13921, the product of two primes.
- 2
27842 is composite. Its prime factorisation is
- 3
The divisors add up to 41766; without 27842 itself that is 13924, so 27842 is deficient (13924 is less than 27842). Euler's totient φ(27842) = 13920 numbers up to 27842 share no factor with it.
- 4
The digits of 27842 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27842 = 2 \times 13921 \]
27842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41766 |
| Euler totient φ(n) | 13920 |
| Square | 775176964 |
| Cube | 21582477031688 |
| Square root | 166.859222 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7842 × |
27842 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and forty-two |
| Binary (base 2) | 110110011000010 |
| Octal (base 8) | 66302 |
| Hexadecimal (base 16) | 6CC2 |
| Base 3 | 1102012012 |
| As time | 27842 seconds = 7 h 44 min 2 s |
Is 27842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27842 ÷ 2 = 13921) | 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 3) | 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 1) | 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 27842 a prime number?
No. 27842 = 2 × 13921, so it is divisible by 2.
What are the factors of 27842?
1, 2, 13921, 27842.
What is 27842 in binary?
110110011000010 (hexadecimal 6CC2, octal 66302).
What is the square root of 27842?
About 166.8592.
Is 27842 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 27842?
27842 is a semiprime: 2 × 13921, the product of two primes.