The number 57073
57073 is the 5787th prime number. Its only divisors are 1 and 57073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57073: the 5787th prime number.
- 2
57073 is prime, so its only factors are 1 and 57073. It is the 5787th prime; the next prime is 57077 and the one before is 57059.
- 3
The divisors add up to 57074; without 57073 itself that is 1, so 57073 is deficient (1 is less than 57073). Euler's totient φ(57073) = 57072 numbers up to 57073 share no factor with it.
- 4
The digits of 57073 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
57073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57074 |
| Euler totient φ(n) | 57072 |
| Square | 3257327329 |
| Cube | 185905442648017 |
| Square root | 238.899560 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.7073 × |
57073 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and seventy-three |
| Binary (base 2) | 1101111011110001 |
| Octal (base 8) | 157361 |
| Hexadecimal (base 16) | DEF1 |
| Base 3 | 2220021211 |
| As time | 57073 seconds = 15 h 51 min 13 s |
Is 57073 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 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 4) | 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 5) | 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 57073 a prime number?
Yes. 57073 is divisible only by 1 and itself.
What are the factors of 57073?
1, 57073.
What is 57073 in binary?
1101111011110001 (hexadecimal DEF1, octal 157361).
What is the square root of 57073?
About 238.8996.
Is 57073 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 57073?
57073 is the 5787th prime number.