The number 58073
58073 is the 5882nd prime number. Its only divisors are 1 and 58073.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58073: the 5882nd prime number.
- 2
58073 is prime, so its only factors are 1 and 58073. It is the 5882nd prime; the next prime is 58099 and the one before is 58067.
- 3
The divisors add up to 58074; without 58073 itself that is 1, so 58073 is deficient (1 is less than 58073). Euler's totient φ(58073) = 58072 numbers up to 58073 share no factor with it.
- 4
The digits of 58073 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 73 steps to reach 1.
58073 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58074 |
| Euler totient φ(n) | 58072 |
| Square | 3372473329 |
| Cube | 195849643635017 |
| Square root | 240.983402 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8073 × |
58073 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and seventy-three |
| Binary (base 2) | 1110001011011001 |
| Octal (base 8) | 161331 |
| Hexadecimal (base 16) | E2D9 |
| Base 3 | 2221122212 |
| As time | 58073 seconds = 16 h 7 min 53 s |
Is 58073 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 4) | 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 58073 a prime number?
Yes. 58073 is divisible only by 1 and itself.
What are the factors of 58073?
1, 58073.
What is 58073 in binary?
1110001011011001 (hexadecimal E2D9, octal 161331).
What is the square root of 58073?
About 240.9834.
Is 58073 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 58073?
58073 is the 5882nd prime number.