The number 27942
27942 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4657. Divisors (8): 1, 2, 3, 6, 4657, 9314, 13971, 27942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27942 is composite. Its prime factorisation is
- 3
The divisors add up to 55896; without 27942 itself that is 27954, so 27942 is abundant (27954 is more than 27942). Euler's totient φ(27942) = 9312 numbers up to 27942 share no factor with it.
- 4
The digits of 27942 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 108 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27942 = 2 \times 3 \times 4657 \]
27942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55896 |
| Euler totient φ(n) | 9312 |
| Square | 780755364 |
| Cube | 21815866380888 |
| Square root | 167.158607 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 108 |
| Scientific notation | 2.7942 × |
27942 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and forty-two |
| Binary (base 2) | 110110100100110 |
| Octal (base 8) | 66446 |
| Hexadecimal (base 16) | 6D26 |
| Base 3 | 1102022220 |
| As time | 27942 seconds = 7 h 45 min 42 s |
Is 27942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27942 ÷ 2 = 13971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27942 ÷ 3 = 9314) | 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 (27942 ÷ 6 = 4657) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 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 2) | 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 27942 a prime number?
No. 27942 = 2 × 3 × 4657, so it is divisible by 2.
What are the factors of 27942?
1, 2, 3, 6, 4657, 9314, 13971, 27942.
What is 27942 in binary?
110110100100110 (hexadecimal 6D26, octal 66446).
What is the square root of 27942?
About 167.1586.
Is 27942 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 27942?
It is a composite number with 8 divisors.