The number 27014
27014 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 1039. Divisors (8): 1, 2, 13, 26, 1039, 2078, 13507, 27014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27014: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27014 is composite. Its prime factorisation is
- 3
The divisors add up to 43680; without 27014 itself that is 16666, so 27014 is deficient (16666 is less than 27014). Euler's totient φ(27014) = 12456 numbers up to 27014 share no factor with it.
- 4
The digits of 27014 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 77 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27014 = 2 \times 13 \times 1039 \]
27014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 43680 |
| Euler totient φ(n) | 12456 |
| Square | 729756196 |
| Cube | 19713633878744 |
| Square root | 164.359362 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 77 |
| Scientific notation | 2.7014 × |
27014 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and fourteen |
| Binary (base 2) | 110100110000110 |
| Octal (base 8) | 64606 |
| Hexadecimal (base 16) | 6986 |
| Base 3 | 1101001112 |
| As time | 27014 seconds = 7 h 30 min 14 s |
Is 27014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (27014 ÷ 2 = 13507) | 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 | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 9) | 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 27014 a prime number?
No. 27014 = 2 × 13 × 1039, so it is divisible by 2.
What are the factors of 27014?
1, 2, 13, 26, 1039, 2078, 13507, 27014.
What is 27014 in binary?
110100110000110 (hexadecimal 6986, octal 64606).
What is the square root of 27014?
About 164.3594.
Is 27014 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 27014?
27014 is a happy number: repeatedly adding the squares of its digits reaches 1.