The number 58049
58049 is the 5878th prime number. Its only divisors are 1 and 58049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58049: the 5878th prime number.
- 2
58049 is prime, so its only factors are 1 and 58049. It is the 5878th prime; the next prime is 58057 and the one before is 58043.
- 3
The divisors add up to 58050; without 58049 itself that is 1, so 58049 is deficient (1 is less than 58049). Euler's totient φ(58049) = 58048 numbers up to 58049 share no factor with it.
- 4
The digits of 58049 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
58049 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 58050 |
| Euler totient φ(n) | 58048 |
| Square | 3369686401 |
| Cube | 195606925891649 |
| Square root | 240.933601 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.8049 × |
58049 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and forty-nine |
| Binary (base 2) | 1110001011000001 |
| Octal (base 8) | 161301 |
| Hexadecimal (base 16) | E2C1 |
| Base 3 | 2221121222 |
| As time | 58049 seconds = 16 h 7 min 29 s |
Is 58049 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 4) | 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 5) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58049 a prime number?
Yes. 58049 is divisible only by 1 and itself.
What are the factors of 58049?
1, 58049.
What is 58049 in binary?
1110001011000001 (hexadecimal E2C1, octal 161301).
What is the square root of 58049?
About 240.9336.
Is 58049 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58049?
58049 is the 5878th prime number.