The number 76673
76673 is the 7541st prime number. Its only divisors are 1 and 76673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76673: the 7541st prime number.
- 2
76673 is prime, so its only factors are 1 and 76673. It is the 7541st prime; the next prime is 76679 and the one before is 76667.
- 3
The divisors add up to 76674; without 76673 itself that is 1, so 76673 is deficient (1 is less than 76673). Euler's totient φ(76673) = 76672 numbers up to 76673 share no factor with it.
- 4
The digits of 76673 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
76673 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76674 |
| Euler totient φ(n) | 76672 |
| Square | 5878748929 |
| Cube | 450741316633217 |
| Square root | 276.898899 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.6673 × |
76673 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand six hundred and seventy-three |
| Binary (base 2) | 10010101110000001 |
| Octal (base 8) | 225601 |
| Hexadecimal (base 16) | 12B81 |
| Base 3 | 10220011202 |
| As time | 76673 seconds = 21 h 17 min 53 s |
Is 76673 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 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 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 3) | 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 76673 a prime number?
Yes. 76673 is divisible only by 1 and itself.
What are the factors of 76673?
1, 76673.
What is 76673 in binary?
10010101110000001 (hexadecimal 12B81, octal 225601).
What is the square root of 76673?
About 276.8989.
Is 76673 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76673?
76673 is the 7541st prime number.