The number 27137
27137 is a composite number with 4 divisors. Its prime factorisation is 11 × 2467. Divisors (4): 1, 11, 2467, 27137.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27137: a semiprime: 11 × 2467, the product of two primes.
- 2
27137 is composite. Its prime factorisation is
- 3
The divisors add up to 29616; without 27137 itself that is 2479, so 27137 is deficient (2479 is less than 27137). Euler's totient φ(27137) = 24660 numbers up to 27137 share no factor with it.
- 4
The digits of 27137 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27137 = 11 \times 2467 \]
27137 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 29616 |
| Euler totient φ(n) | 24660 |
| Square | 736416769 |
| Cube | 19984141860353 |
| Square root | 164.733117 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7137 × |
27137 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand one hundred and thirty-seven |
| Binary (base 2) | 110101000000001 |
| Octal (base 8) | 65001 |
| Hexadecimal (base 16) | 6A01 |
| Base 3 | 1101020002 |
| As time | 27137 seconds = 7 h 32 min 17 s |
Is 27137 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 1) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (27137 ÷ 11 = 2467) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27137 a prime number?
No. 27137 = 11 × 2467, so it is divisible by 11.
What are the factors of 27137?
1, 11, 2467, 27137.
What is 27137 in binary?
110101000000001 (hexadecimal 6A01, octal 65001).
What is the square root of 27137?
About 164.7331.
Is 27137 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 27137?
27137 is a semiprime: 11 × 2467, the product of two primes.