The number 7673
7673 is the 973rd prime number. Its only divisors are 1 and 7673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7673: the 973rd prime number.
- 2
7673 is prime, so its only factors are 1 and 7673. It is the 973rd prime; the next prime is 7681 and the one before is 7669.
- 3
The divisors add up to 7674; without 7673 itself that is 1, so 7673 is deficient (1 is less than 7673). Euler's totient φ(7673) = 7672 numbers up to 7673 share no factor with it.
- 4
The digits of 7673 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
7673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 7674 |
| Euler totient φ(n) | 7672 |
| Square | 58874929 |
| Cube | 451747330217 |
| Square root | 87.595662 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.673 × |
7673 in other forms
| Form | Value |
|---|---|
| In words | seven thousand six hundred and seventy-three |
| Binary (base 2) | 1110111111001 |
| Octal (base 8) | 16771 |
| Hexadecimal (base 16) | 1DF9 |
| Base 3 | 101112012 |
| As time | 7673 seconds = 2 h 7 min 53 s |
Is 7673 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 1) | 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 5) | 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 6) | 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 7673 a prime number?
Yes. 7673 is divisible only by 1 and itself.
What are the factors of 7673?
1, 7673.
What is 7673 in binary?
1110111111001 (hexadecimal 1DF9, octal 16771).
What is the square root of 7673?
About 87.5957.
Is 7673 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 7673?
7673 is the 973rd prime number.