The number 27995
27995 is a binary palindrome (110110101011011). Its prime factorisation is 5 × 11 × 509. Divisors (8): 1, 5, 11, 55, 509, 2545, 5599, 27995.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27995: a binary palindrome (110110101011011).
- 2
27995 is composite. Its prime factorisation is
- 3
The divisors add up to 36720; without 27995 itself that is 8725, so 27995 is deficient (8725 is less than 27995). Euler's totient φ(27995) = 20320 numbers up to 27995 share no factor with it.
- 4
The digits of 27995 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27995 = 5 \times 11 \times 509 \]
27995 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36720 |
| Euler totient φ(n) | 20320 |
| Square | 783720025 |
| Cube | 21940242099875 |
| Square root | 167.317064 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 90 |
| Scientific notation | 2.7995 × |
27995 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand nine hundred and ninety-five |
| Binary (base 2) | 110110101011011 |
| Octal (base 8) | 66533 |
| Hexadecimal (base 16) | 6D5B |
| Base 3 | 1102101212 |
| As time | 27995 seconds = 7 h 46 min 35 s |
Is 27995 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 | Yes (27995 ÷ 5 = 5599) | 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 3) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27995 ÷ 11 = 2545) | 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 27995 a prime number?
No. 27995 = 5 × 11 × 509, so it is divisible by 5.
What are the factors of 27995?
1, 5, 11, 55, 509, 2545, 5599, 27995.
What is 27995 in binary?
110110101011011 (hexadecimal 6D5B, octal 66533).
What is the square root of 27995?
About 167.3171.
Is 27995 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 27995?
27995 is a binary palindrome (110110101011011).