The number 6600
6600 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 11. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30 … 6600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6600: a Harshad number: divisible by its digit sum 12.
- 2
6600 is composite. Its prime factorisation is
- 3
The divisors add up to 22320; without 6600 itself that is 15720, so 6600 is abundant (15720 is more than 6600). Euler's totient φ(6600) = 1600 numbers up to 6600 share no factor with it.
- 4
The digits of 6600 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6600 = 2^{3} \times 3 \times 5^{2} \times 11 \]6600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 22320 |
| Euler totient φ(n) | 1600 |
| Square | 43560000 |
| Cube | 287496000000 |
| Square root | 81.240384 (= 10√66) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.6 × |
6600 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred |
| Binary (base 2) | 1100111001000 |
| Octal (base 8) | 14710 |
| Hexadecimal (base 16) | 19C8 |
| Base 3 | 100001110 |
| As time | 6600 seconds = 1 h 50 min 0 s |
Is 6600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6600 ÷ 2 = 3300) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6600 ÷ 3 = 2200) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6600 ÷ 4 = 1650) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6600 ÷ 5 = 1320) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6600 ÷ 6 = 1100) | 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 | Yes (6600 ÷ 8 = 825) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6600 ÷ 10 = 660) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (6600 ÷ 11 = 600) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6600 ÷ 12 = 550) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6600 a prime number?
No. 6600 = × 3 × × 11, so it is divisible by 2.
What are the factors of 6600?
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 25, 30, 33, 40, 44, 50, 55, 60, 66, 75, 88, 100, 110, 120, 132, 150, 165, 200, 220, 264, 275, 300, 330, 440, 550, 600, 660, 825, 1100, 1320, 1650, 2200, 3300, 6600.
What is 6600 in binary?
1100111001000 (hexadecimal 19C8, octal 14710).
What is the square root of 6600?
About 81.2404, exactly 10√66.
Is 6600 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 6600?
6600 is a Harshad number: divisible by its digit sum 12.