The number 67073
67073 is the 6683rd prime number. Its only divisors are 1 and 67073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67073: the 6683rd prime number.
- 2
67073 is prime, so its only factors are 1 and 67073. It is the 6683rd prime; the next prime is 67079 and the one before is 67061.
- 3
The divisors add up to 67074; without 67073 itself that is 1, so 67073 is deficient (1 is less than 67073). Euler's totient φ(67073) = 67072 numbers up to 67073 share no factor with it.
- 4
The digits of 67073 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 161 steps to reach 1.
67073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67074 |
| Euler totient φ(n) | 67072 |
| Square | 4498787329 |
| Cube | 301747162518017 |
| Square root | 258.984556 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.7073 × |
67073 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and seventy-three |
| Binary (base 2) | 10000011000000001 |
| Octal (base 8) | 203001 |
| Hexadecimal (base 16) | 10601 |
| Base 3 | 10102000012 |
| As time | 67073 seconds = 18 h 37 min 53 s |
Is 67073 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 6) | 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 67073 a prime number?
Yes. 67073 is divisible only by 1 and itself.
What are the factors of 67073?
1, 67073.
What is 67073 in binary?
10000011000000001 (hexadecimal 10601, octal 203001).
What is the square root of 67073?
About 258.9846.
Is 67073 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67073?
67073 is the 6683rd prime number.