The number 58601
58601 is a twin prime (58601 and 58603 are both prime) and the 5930th prime number. Its only divisors are 1 and 58601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58601: a twin prime (58601 and 58603 are both prime); the 5930th prime number.
- 2
58601 is prime, so its only factors are 1 and 58601. It is the 5930th prime; the next prime is 58603 and the one before is 58579.
- 3
The divisors add up to 58602; without 58601 itself that is 1, so 58601 is deficient (1 is less than 58601). Euler's totient φ(58601) = 58600 numbers up to 58601 share no factor with it.
- 4
The digits of 58601 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
58601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58602 |
| Euler totient φ(n) | 58600 |
| Square | 3434077201 |
| Cube | 201240358055801 |
| Square root | 242.076434 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8601 × |
58601 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand six hundred and one |
| Binary (base 2) | 1110010011101001 |
| Octal (base 8) | 162351 |
| Hexadecimal (base 16) | E4E9 |
| Base 3 | 2222101102 |
| As time | 58601 seconds = 16 h 16 min 41 s |
Is 58601 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 1) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 58601 a prime number?
Yes. 58601 is divisible only by 1 and itself.
What are the factors of 58601?
1, 58601.
What is 58601 in binary?
1110010011101001 (hexadecimal E4E9, octal 162351).
What is the square root of 58601?
About 242.0764.
Is 58601 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 58601?
58601 is a twin prime (58601 and 58603 are both prime); the 5930th prime number.