The number 27071
27071 is a composite number with 8 divisors. Its prime factorisation is 11 × 23 × 107. Divisors (8): 1, 11, 23, 107, 253, 1177, 2461, 27071.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27071: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27071 is composite. Its prime factorisation is
- 3
The divisors add up to 31104; without 27071 itself that is 4033, so 27071 is deficient (4033 is less than 27071). Euler's totient φ(27071) = 23320 numbers up to 27071 share no factor with it.
- 4
The digits of 27071 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 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27071 = 11 \times 23 \times 107 \]
27071 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31104 |
| Euler totient φ(n) | 23320 |
| Square | 732839041 |
| Cube | 19838685678911 |
| Square root | 164.532672 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.7071 × |
27071 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seventy-one |
| Binary (base 2) | 110100110111111 |
| Octal (base 8) | 64677 |
| Hexadecimal (base 16) | 69BF |
| Base 3 | 1101010122 |
| As time | 27071 seconds = 7 h 31 min 11 s |
Is 27071 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27071 ÷ 11 = 2461) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27071 a prime number?
No. 27071 = 11 × 23 × 107, so it is divisible by 11.
What are the factors of 27071?
1, 11, 23, 107, 253, 1177, 2461, 27071.
What is 27071 in binary?
110100110111111 (hexadecimal 69BF, octal 64677).
What is the square root of 27071?
About 164.5327.
Is 27071 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 27071?
27071 is a happy number: repeatedly adding the squares of its digits reaches 1.