The number 27301
27301 is a composite number with 4 divisors. Its prime factorisation is 23 × 1187. Divisors (4): 1, 23, 1187, 27301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27301: a semiprime: 23 × 1187, the product of two primes.
- 2
27301 is composite. Its prime factorisation is
- 3
The divisors add up to 28512; without 27301 itself that is 1211, so 27301 is deficient (1211 is less than 27301). Euler's totient φ(27301) = 26092 numbers up to 27301 share no factor with it.
- 4
The digits of 27301 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 121 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27301 = 23 \times 1187 \]
27301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 28512 |
| Euler totient φ(n) | 26092 |
| Square | 745344601 |
| Cube | 20348652951901 |
| Square root | 165.230143 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 121 |
| Scientific notation | 2.7301 × |
27301 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand three hundred and one |
| Binary (base 2) | 110101010100101 |
| Octal (base 8) | 65245 |
| Hexadecimal (base 16) | 6AA5 |
| Base 3 | 1101110011 |
| As time | 27301 seconds = 7 h 35 min 1 s |
Is 27301 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 1) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27301 a prime number?
No. 27301 = 23 × 1187, so it is divisible by 23.
What are the factors of 27301?
1, 23, 1187, 27301.
What is 27301 in binary?
110101010100101 (hexadecimal 6AA5, octal 65245).
What is the square root of 27301?
About 165.2301.
Is 27301 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 27301?
27301 is a semiprime: 23 × 1187, the product of two primes.