The number 6690
6690 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 223. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6690 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6690 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 6690 itself that is 9438, so 6690 is abundant (9438 is more than 6690). Euler's totient φ(6690) = 1776 numbers up to 6690 share no factor with it.
- 4
The digits of 6690 add up to 21, 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
\[ 6690 = 2 \times 3 \times 5 \times 223 \]
6690 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 1776 |
| Square | 44756100 |
| Cube | 299418309000 |
| Square root | 81.792420 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.69 × |
6690 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and ninety |
| Binary (base 2) | 1101000100010 |
| Octal (base 8) | 15042 |
| Hexadecimal (base 16) | 1A22 |
| Base 3 | 100011210 |
| As time | 6690 seconds = 1 h 51 min 30 s |
Is 6690 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6690 ÷ 2 = 3345) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6690 ÷ 3 = 2230) | 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 | Yes (6690 ÷ 5 = 1338) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6690 ÷ 6 = 1115) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6690 ÷ 10 = 669) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 6690 a prime number?
No. 6690 = 2 × 3 × 5 × 223, so it is divisible by 2.
What are the factors of 6690?
1, 2, 3, 5, 6, 10, 15, 30, 223, 446, 669, 1115, 1338, 2230, 3345, 6690.
What is 6690 in binary?
1101000100010 (hexadecimal 1A22, octal 15042).
What is the square root of 6690?
About 81.7924.
Is 6690 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6690?
It is a composite number with 16 divisors.