The number 6001
6001 is a composite number with 4 divisors. Its prime factorisation is 17 × 353. Divisors (4): 1, 17, 353, 6001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6001: a semiprime: 17 × 353, the product of two primes.
- 2
6001 is composite. Its prime factorisation is
- 3
The divisors add up to 6372; without 6001 itself that is 371, so 6001 is deficient (371 is less than 6001). Euler's totient φ(6001) = 5632 numbers up to 6001 share no factor with it.
- 4
The digits of 6001 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6001 = 17 \times 353 \]
6001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 6372 |
| Euler totient φ(n) | 5632 |
| Square | 36012001 |
| Cube | 216108018001 |
| Square root | 77.466122 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.001 × |
6001 in other forms
| Form | Value |
|---|---|
| In words | six thousand and one |
| Binary (base 2) | 1011101110001 |
| Octal (base 8) | 13561 |
| Hexadecimal (base 16) | 1771 |
| Base 3 | 22020021 |
| As time | 6001 seconds = 1 h 40 min 1 s |
Is 6001 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 2) | 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 7) | 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 6) | 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 6001 a prime number?
No. 6001 = 17 × 353, so it is divisible by 17.
What are the factors of 6001?
1, 17, 353, 6001.
What is 6001 in binary?
1011101110001 (hexadecimal 1771, octal 13561).
What is the square root of 6001?
About 77.4661.
Is 6001 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 6001?
6001 is a semiprime: 17 × 353, the product of two primes.