The number 58001
58001 is a composite number with 4 divisors. Its prime factorisation is 31 × 1871. Divisors (4): 1, 31, 1871, 58001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58001: a semiprime: 31 × 1871, the product of two primes.
- 2
58001 is composite. Its prime factorisation is
- 3
The divisors add up to 59904; without 58001 itself that is 1903, so 58001 is deficient (1903 is less than 58001). Euler's totient φ(58001) = 56100 numbers up to 58001 share no factor with it.
- 4
The digits of 58001 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58001 = 31 \times 1871 \]
58001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 59904 |
| Euler totient φ(n) | 56100 |
| Square | 3364116001 |
| Cube | 195122092174001 |
| Square root | 240.833968 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8001 × |
58001 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and one |
| Binary (base 2) | 1110001010010001 |
| Octal (base 8) | 161221 |
| Hexadecimal (base 16) | E291 |
| Base 3 | 2221120012 |
| As time | 58001 seconds = 16 h 6 min 41 s |
Is 58001 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 6) | 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 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 9) | 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 58001 a prime number?
No. 58001 = 31 × 1871, so it is divisible by 31.
What are the factors of 58001?
1, 31, 1871, 58001.
What is 58001 in binary?
1110001010010001 (hexadecimal E291, octal 161221).
What is the square root of 58001?
About 240.8340.
Is 58001 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 58001?
58001 is a semiprime: 31 × 1871, the product of two primes.