The number 6642
6642 is a composite number with 20 divisors. Its prime factorisation is 2 × × 41. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738 … 6642.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6642: a Harshad number: divisible by its digit sum 18.
- 2
6642 is composite. Its prime factorisation is
- 3
The divisors add up to 15246; without 6642 itself that is 8604, so 6642 is abundant (8604 is more than 6642). Euler's totient φ(6642) = 2160 numbers up to 6642 share no factor with it.
- 4
The digits of 6642 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6642 = 2 \times 3^{4} \times 41 \]6642 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 15246 |
| Euler totient φ(n) | 2160 |
| Square | 44116164 |
| Cube | 293019561288 |
| Square root | 81.498466 (= 9√82) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 106 |
| Scientific notation | 6.642 × |
6642 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and forty-two |
| Binary (base 2) | 1100111110010 |
| Octal (base 8) | 14762 |
| Hexadecimal (base 16) | 19F2 |
| Base 3 | 100010000 |
| As time | 6642 seconds = 1 h 50 min 42 s |
Is 6642 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6642 ÷ 2 = 3321) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6642 ÷ 3 = 2214) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (6642 ÷ 6 = 1107) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6642 ÷ 9 = 738) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6642 a prime number?
No. 6642 = 2 × × 41, so it is divisible by 2.
What are the factors of 6642?
1, 2, 3, 6, 9, 18, 27, 41, 54, 81, 82, 123, 162, 246, 369, 738, 1107, 2214, 3321, 6642.
What is 6642 in binary?
1100111110010 (hexadecimal 19F2, octal 14762).
What is the square root of 6642?
About 81.4985, exactly 9√82.
Is 6642 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6642?
6642 is a Harshad number: divisible by its digit sum 18.