The number 27042
27042 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 4507. Divisors (8): 1, 2, 3, 6, 4507, 9014, 13521, 27042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
27042 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
27042 is composite. Its prime factorisation is
- 3
The divisors add up to 54096; without 27042 itself that is 27054, so 27042 is abundant (27054 is more than 27042). Euler's totient φ(27042) = 9012 numbers up to 27042 share no factor with it.
- 4
The digits of 27042 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 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27042 = 2 \times 3 \times 4507 \]
27042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54096 |
| Euler totient φ(n) | 9012 |
| Square | 731269764 |
| Cube | 19774996958088 |
| Square root | 164.444520 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7042 × |
27042 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and forty-two |
| Binary (base 2) | 110100110100010 |
| Octal (base 8) | 64642 |
| Hexadecimal (base 16) | 69A2 |
| Base 3 | 1101002120 |
| As time | 27042 seconds = 7 h 30 min 42 s |
Is 27042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27042 ÷ 2 = 13521) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27042 ÷ 3 = 9014) | 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 (27042 ÷ 6 = 4507) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 27042 a prime number?
No. 27042 = 2 × 3 × 4507, so it is divisible by 2.
What are the factors of 27042?
1, 2, 3, 6, 4507, 9014, 13521, 27042.
What is 27042 in binary?
110100110100010 (hexadecimal 69A2, octal 64642).
What is the square root of 27042?
About 164.4445.
Is 27042 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 27042?
It is a composite number with 8 divisors.