The number 6673
6673 is the 860th prime number. Its only divisors are 1 and 6673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6673: the 860th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6673 is prime, so its only factors are 1 and 6673. It is the 860th prime; the next prime is 6679 and the one before is 6661.
- 3
The divisors add up to 6674; without 6673 itself that is 1, so 6673 is deficient (1 is less than 6673). Euler's totient φ(6673) = 6672 numbers up to 6673 share no factor with it.
- 4
The digits of 6673 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
6673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6674 |
| Euler totient φ(n) | 6672 |
| Square | 44528929 |
| Cube | 297141543217 |
| Square root | 81.688432 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 31 |
| Scientific notation | 6.673 × |
6673 in other forms
| Form | Value |
|---|---|
| In words | six thousand six hundred and seventy-three |
| Binary (base 2) | 1101000010001 |
| Octal (base 8) | 15021 |
| Hexadecimal (base 16) | 1A11 |
| Base 3 | 100011011 |
| As time | 6673 seconds = 1 h 51 min 13 s |
Is 6673 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 3) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 6673 a prime number?
Yes. 6673 is divisible only by 1 and itself.
What are the factors of 6673?
1, 6673.
What is 6673 in binary?
1101000010001 (hexadecimal 1A11, octal 15021).
What is the square root of 6673?
About 81.6884.
Is 6673 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6673?
6673 is the 860th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.