The number 6073
6073 is the 792nd prime number. Its only divisors are 1 and 6073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6073: the 792nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6073 is prime, so its only factors are 1 and 6073. It is the 792nd prime; the next prime is 6079 and the one before is 6067.
- 3
The divisors add up to 6074; without 6073 itself that is 1, so 6073 is deficient (1 is less than 6073). Euler's totient φ(6073) = 6072 numbers up to 6073 share no factor with it.
- 4
The digits of 6073 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
6073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 6074 |
| Euler totient φ(n) | 6072 |
| Square | 36881329 |
| Cube | 223980311017 |
| Square root | 77.929455 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.073 × |
6073 in other forms
| Form | Value |
|---|---|
| In words | six thousand and seventy-three |
| Binary (base 2) | 1011110111001 |
| Octal (base 8) | 13671 |
| Hexadecimal (base 16) | 17B9 |
| Base 3 | 22022221 |
| As time | 6073 seconds = 1 h 41 min 13 s |
Is 6073 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 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 7) | 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 1) | 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 6073 a prime number?
Yes. 6073 is divisible only by 1 and itself.
What are the factors of 6073?
1, 6073.
What is 6073 in binary?
1011110111001 (hexadecimal 17B9, octal 13671).
What is the square root of 6073?
About 77.9295.
Is 6073 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 6073?
6073 is the 792nd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.