The number 27314
27314 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1951. Divisors (8): 1, 2, 7, 14, 1951, 3902, 13657, 27314.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27314: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27314 is composite. Its prime factorisation is
- 3
The divisors add up to 46848; without 27314 itself that is 19534, so 27314 is deficient (19534 is less than 27314). Euler's totient φ(27314) = 11700 numbers up to 27314 share no factor with it.
- 4
The digits of 27314 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27314 = 2 \times 7 \times 1951 \]
27314 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46848 |
| Euler totient φ(n) | 11700 |
| Square | 746054596 |
| Cube | 20377735235144 |
| Square root | 165.269477 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.7314 × |
27314 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and fourteen |
| Binary (base 2) | 110101010110010 |
| Octal (base 8) | 65262 |
| Hexadecimal (base 16) | 6AB2 |
| Base 3 | 1101110122 |
| As time | 27314 seconds = 7 h 35 min 14 s |
Is 27314 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27314 ÷ 2 = 13657) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (27314 ÷ 7 = 3902) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27314 a prime number?
No. 27314 = 2 × 7 × 1951, so it is divisible by 2.
What are the factors of 27314?
1, 2, 7, 14, 1951, 3902, 13657, 27314.
What is 27314 in binary?
110101010110010 (hexadecimal 6AB2, octal 65262).
What is the square root of 27314?
About 165.2695.
Is 27314 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27314?
27314 is a happy number: repeatedly adding the squares of its digits reaches 1.