The number 27142
27142 is a composite number with 8 divisors. Its prime factorisation is 2 × 41 × 331. Divisors (8): 1, 2, 41, 82, 331, 662, 13571, 27142.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27142 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27142 is composite. Its prime factorisation is
- 3
The divisors add up to 41832; without 27142 itself that is 14690, so 27142 is deficient (14690 is less than 27142). Euler's totient φ(27142) = 13200 numbers up to 27142 share no factor with it.
- 4
The digits of 27142 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27142 = 2 \times 41 \times 331 \]
27142 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 41832 |
| Euler totient φ(n) | 13200 |
| Square | 736688164 |
| Cube | 19995190147288 |
| Square root | 164.748293 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7142 × |
27142 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and forty-two |
| Binary (base 2) | 110101000000110 |
| Octal (base 8) | 65006 |
| Hexadecimal (base 16) | 6A06 |
| Base 3 | 1101020021 |
| As time | 27142 seconds = 7 h 32 min 22 s |
Is 27142 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27142 ÷ 2 = 13571) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27142 a prime number?
No. 27142 = 2 × 41 × 331, so it is divisible by 2.
What are the factors of 27142?
1, 2, 41, 82, 331, 662, 13571, 27142.
What is 27142 in binary?
110101000000110 (hexadecimal 6A06, octal 65006).
What is the square root of 27142?
About 164.7483.
Is 27142 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27142?
It is a composite number with 8 divisors.