The number 8027
8027 is a composite number with 4 divisors. Its prime factorisation is 23 × 349. Divisors (4): 1, 23, 349, 8027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8027: a semiprime: 23 × 349, the product of two primes.
- 2
8027 is composite. Its prime factorisation is
- 3
The divisors add up to 8400; without 8027 itself that is 373, so 8027 is deficient (373 is less than 8027). Euler's totient φ(8027) = 7656 numbers up to 8027 share no factor with it.
- 4
The digits of 8027 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 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8027 = 23 \times 349 \]
8027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 8400 |
| Euler totient φ(n) | 7656 |
| Square | 64432729 |
| Cube | 517201515683 |
| Square root | 89.593527 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 189 |
| Scientific notation | 8.027 × |
8027 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and twenty-seven |
| Binary (base 2) | 1111101011011 |
| Octal (base 8) | 17533 |
| Hexadecimal (base 16) | 1F5B |
| Base 3 | 102000022 |
| As time | 8027 seconds = 2 h 13 min 47 s |
Is 8027 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 8027 a prime number?
No. 8027 = 23 × 349, so it is divisible by 23.
What are the factors of 8027?
1, 23, 349, 8027.
What is 8027 in binary?
1111101011011 (hexadecimal 1F5B, octal 17533).
What is the square root of 8027?
About 89.5935.
Is 8027 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 8027?
8027 is a semiprime: 23 × 349, the product of two primes.