The number 6005
6005 is a composite number with 4 divisors. Its prime factorisation is 5 × 1201. Divisors (4): 1, 5, 1201, 6005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6005: a semiprime: 5 × 1201, the product of two primes.
- 2
6005 is composite. Its prime factorisation is
- 3
The divisors add up to 7212; without 6005 itself that is 1207, so 6005 is deficient (1207 is less than 6005). Euler's totient φ(6005) = 4800 numbers up to 6005 share no factor with it.
- 4
The digits of 6005 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6005 = 5 \times 1201 \]
6005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 7212 |
| Euler totient φ(n) | 4800 |
| Square | 36060025 |
| Cube | 216540450125 |
| Square root | 77.491935 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.005 × |
6005 in other forms
| Form | Value |
|---|---|
| In words | six thousand and five |
| Binary (base 2) | 1011101110101 |
| Octal (base 8) | 13565 |
| Hexadecimal (base 16) | 1775 |
| Base 3 | 22020102 |
| As time | 6005 seconds = 1 h 40 min 5 s |
Is 6005 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 | Yes (6005 ÷ 5 = 1201) | 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 6) | 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 2) | 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 | No (remainder 10) | 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 6005 a prime number?
No. 6005 = 5 × 1201, so it is divisible by 5.
What are the factors of 6005?
1, 5, 1201, 6005.
What is 6005 in binary?
1011101110101 (hexadecimal 1775, octal 13565).
What is the square root of 6005?
About 77.4919.
Is 6005 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 6005?
6005 is a semiprime: 5 × 1201, the product of two primes.