The number 58901
58901 is the 5952nd prime number. Its only divisors are 1 and 58901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58901: the 5952nd prime number.
- 2
58901 is prime, so its only factors are 1 and 58901. It is the 5952nd prime; the next prime is 58907 and the one before is 58897.
- 3
The divisors add up to 58902; without 58901 itself that is 1, so 58901 is deficient (1 is less than 58901). Euler's totient φ(58901) = 58900 numbers up to 58901 share no factor with it.
- 4
The digits of 58901 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 135 steps to reach 1.
58901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58902 |
| Euler totient φ(n) | 58900 |
| Square | 3469327801 |
| Cube | 204346876806701 |
| Square root | 242.695282 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8901 × |
58901 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and one |
| Binary (base 2) | 1110011000010101 |
| Octal (base 8) | 163025 |
| Hexadecimal (base 16) | E615 |
| Base 3 | 2222210112 |
| As time | 58901 seconds = 16 h 21 min 41 s |
Is 58901 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 3) | 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 5) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 58901 a prime number?
Yes. 58901 is divisible only by 1 and itself.
What are the factors of 58901?
1, 58901.
What is 58901 in binary?
1110011000010101 (hexadecimal E615, octal 163025).
What is the square root of 58901?
About 242.6953.
Is 58901 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 58901?
58901 is the 5952nd prime number.