The number 27007
27007 is a composite number with 4 divisors. Its prime factorisation is 113 × 239. Divisors (4): 1, 113, 239, 27007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27007: a semiprime: 113 × 239, the product of two primes.
- 2
27007 is composite. Its prime factorisation is
- 3
The divisors add up to 27360; without 27007 itself that is 353, so 27007 is deficient (353 is less than 27007). Euler's totient φ(27007) = 26656 numbers up to 27007 share no factor with it.
- 4
The digits of 27007 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 175 steps to reach 1.
LaTeX source of the formulas on this page
\[ 27007 = 113 \times 239 \]
27007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27360 |
| Euler totient φ(n) | 26656 |
| Square | 729378049 |
| Cube | 19698312969343 |
| Square root | 164.338066 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 175 |
| Scientific notation | 2.7007 × |
27007 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand and seven |
| Binary (base 2) | 110100101111111 |
| Octal (base 8) | 64577 |
| Hexadecimal (base 16) | 697F |
| Base 3 | 1101001021 |
| As time | 27007 seconds = 7 h 30 min 7 s |
Is 27007 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 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27007 a prime number?
No. 27007 = 113 × 239, so it is divisible by 113.
What are the factors of 27007?
1, 113, 239, 27007.
What is 27007 in binary?
110100101111111 (hexadecimal 697F, octal 64577).
What is the square root of 27007?
About 164.3381.
Is 27007 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 27007?
27007 is a semiprime: 113 × 239, the product of two primes.