The number 27382
27382 is a composite number with 4 divisors. Its prime factorisation is 2 × 13691. Divisors (4): 1, 2, 13691, 27382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27382: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13691, the product of two primes.
- 2
27382 is composite. Its prime factorisation is
- 3
The divisors add up to 41076; without 27382 itself that is 13694, so 27382 is deficient (13694 is less than 27382). Euler's totient φ(27382) = 13690 numbers up to 27382 share no factor with it.
- 4
The digits of 27382 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27382 = 2 \times 13691 \]
27382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 41076 |
| Euler totient φ(n) | 13690 |
| Square | 749773924 |
| Cube | 20530309586968 |
| Square root | 165.475074 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7382 × |
27382 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and eighty-two |
| Binary (base 2) | 110101011110110 |
| Octal (base 8) | 65366 |
| Hexadecimal (base 16) | 6AF6 |
| Base 3 | 1101120011 |
| As time | 27382 seconds = 7 h 36 min 22 s |
Is 27382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27382 ÷ 2 = 13691) | 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 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 4) | 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 3) | 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 27382 a prime number?
No. 27382 = 2 × 13691, so it is divisible by 2.
What are the factors of 27382?
1, 2, 13691, 27382.
What is 27382 in binary?
110101011110110 (hexadecimal 6AF6, octal 65366).
What is the square root of 27382?
About 165.4751.
Is 27382 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27382?
27382 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 13691, the product of two primes.