The number 4673
4673 is the 632nd prime number. Its only divisors are 1 and 4673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4673: the 632nd prime number.
- 2
4673 is prime, so its only factors are 1 and 4673. It is the 632nd prime; the next prime is 4679 and the one before is 4663.
- 3
The divisors add up to 4674; without 4673 itself that is 1, so 4673 is deficient (1 is less than 4673). Euler's totient φ(4673) = 4672 numbers up to 4673 share no factor with it.
- 4
The digits of 4673 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
4673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4674 |
| Euler totient φ(n) | 4672 |
| Square | 21836929 |
| Cube | 102043969217 |
| Square root | 68.359345 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 4.673 × |
4673 in other forms
| Form | Value |
|---|---|
| In words | four thousand six hundred and seventy-three |
| Binary (base 2) | 1001001000001 |
| Octal (base 8) | 11101 |
| Hexadecimal (base 16) | 1241 |
| Base 3 | 20102002 |
| As time | 4673 seconds = 1 h 17 min 53 s |
Is 4673 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 2) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4673 a prime number?
Yes. 4673 is divisible only by 1 and itself.
What are the factors of 4673?
1, 4673.
What is 4673 in binary?
1001001000001 (hexadecimal 1241, octal 11101).
What is the square root of 4673?
About 68.3593.
Is 4673 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 4673?
4673 is the 632nd prime number.