The number 27342
27342 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 31. Divisors (36): 1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 49, 62, 63, 93, 98 … 27342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27342: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
27342 is composite. Its prime factorisation is
- 3
The divisors add up to 71136; without 27342 itself that is 43794, so 27342 is abundant (43794 is more than 27342). Euler's totient φ(27342) = 7560 numbers up to 27342 share no factor with it.
- 4
The digits of 27342 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27342 = 2 \times 3^{2} \times 7^{2} \times 31 \]27342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 71136 |
| Euler totient φ(n) | 7560 |
| Square | 747584964 |
| Cube | 20440468085688 |
| Square root | 165.354165 (= 21√62) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7342 × |
27342 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and forty-two |
| Binary (base 2) | 110101011001110 |
| Octal (base 8) | 65316 |
| Hexadecimal (base 16) | 6ACE |
| Base 3 | 1101111200 |
| As time | 27342 seconds = 7 h 35 min 42 s |
Is 27342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27342 ÷ 2 = 13671) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (27342 ÷ 3 = 9114) | 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 (27342 ÷ 6 = 4557) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27342 ÷ 7 = 3906) | 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 | Yes (27342 ÷ 9 = 3038) | 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 7) | 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 27342 a prime number?
No. 27342 = 2 × × × 31, so it is divisible by 2.
What are the factors of 27342?
1, 2, 3, 6, 7, 9, 14, 18, 21, 31, 42, 49, 62, 63, 93, 98, 126, 147, 186, 217, 279, 294, 434, 441, 558, 651, 882, 1302, 1519, 1953, 3038, 3906, 4557, 9114, 13671, 27342.
What is 27342 in binary?
110101011001110 (hexadecimal 6ACE, octal 65316).
What is the square root of 27342?
About 165.3542, exactly 21√62.
Is 27342 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 27342?
27342 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.