The number 6601
6601 is a composite number with 8 divisors. Its prime factorisation is 7 × 23 × 41. Divisors (8): 1, 7, 23, 41, 161, 287, 943, 6601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6601 is composite. Its prime factorisation is
- 3
The divisors add up to 8064; without 6601 itself that is 1463, so 6601 is deficient (1463 is less than 6601). Euler's totient φ(6601) = 5280 numbers up to 6601 share no factor with it.
- 4
The digits of 6601 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6601 = 7 \times 23 \times 41 \]
6601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8064 |
| Euler totient φ(n) | 5280 |
| Square | 43573201 |
| Cube | 287626699801 |
| Square root | 81.246538 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 6.601 × |
6601 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and one |
| Binary (base 2) | 1100111001001 |
| Octal (base 8) | 14711 |
| Hexadecimal (base 16) | 19C9 |
| Base 3 | 100001111 |
| As time | 6601 seconds = 1 h 50 min 1 s |
Is 6601 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 | Yes (6601 ÷ 7 = 943) | 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 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 1) | 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 6601 a prime number?
No. 6601 = 7 × 23 × 41, so it is divisible by 7.
What are the factors of 6601?
1, 7, 23, 41, 161, 287, 943, 6601.
What is 6601 in binary?
1100111001001 (hexadecimal 19C9, octal 14711).
What is the square root of 6601?
About 81.2465.
Is 6601 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 6601?
It is a composite number with 8 divisors.