The number 58907
58907 is a twin prime (58907 and 58909 are both prime) and the 5953rd prime number. Its only divisors are 1 and 58907.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58907: a twin prime (58907 and 58909 are both prime); the 5953rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58907 is prime, so its only factors are 1 and 58907. It is the 5953rd prime; the next prime is 58909 and the one before is 58901.
- 3
The divisors add up to 58908; without 58907 itself that is 1, so 58907 is deficient (1 is less than 58907). Euler's totient φ(58907) = 58906 numbers up to 58907 share no factor with it.
- 4
The digits of 58907 add up to 29, 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.
58907 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58908 |
| Euler totient φ(n) | 58906 |
| Square | 3470034649 |
| Cube | 204409331068643 |
| Square root | 242.707643 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8907 × |
58907 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and seven |
| Binary (base 2) | 1110011000011011 |
| Octal (base 8) | 163033 |
| Hexadecimal (base 16) | E61B |
| Base 3 | 2222210202 |
| As time | 58907 seconds = 16 h 21 min 47 s |
Is 58907 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58907 a prime number?
Yes. 58907 is divisible only by 1 and itself.
What are the factors of 58907?
1, 58907.
What is 58907 in binary?
1110011000011011 (hexadecimal E61B, octal 163033).
What is the square root of 58907?
About 242.7076.
Is 58907 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 58907?
58907 is a twin prime (58907 and 58909 are both prime); the 5953rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.