The number 58321
58321 is the 5905th prime number. Its only divisors are 1 and 58321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58321: the 5905th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58321 is prime, so its only factors are 1 and 58321. It is the 5905th prime; the next prime is 58337 and the one before is 58313.
- 3
The divisors add up to 58322; without 58321 itself that is 1, so 58321 is deficient (1 is less than 58321). Euler's totient φ(58321) = 58320 numbers up to 58321 share no factor with it.
- 4
The digits of 58321 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
58321 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58322 |
| Euler totient φ(n) | 58320 |
| Square | 3401339041 |
| Cube | 198369494210161 |
| Square root | 241.497412 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8321 × |
58321 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand three hundred and twenty-one |
| Binary (base 2) | 1110001111010001 |
| Octal (base 8) | 161721 |
| Hexadecimal (base 16) | E3D1 |
| Base 3 | 2222000001 |
| As time | 58321 seconds = 16 h 12 min 1 s |
Is 58321 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 1) | 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 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 1) | 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 10) | 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 58321 a prime number?
Yes. 58321 is divisible only by 1 and itself.
What are the factors of 58321?
1, 58321.
What is 58321 in binary?
1110001111010001 (hexadecimal E3D1, octal 161721).
What is the square root of 58321?
About 241.4974.
Is 58321 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 58321?
58321 is the 5905th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.