The number 58009
58009 is a composite number with 4 divisors. Its prime factorisation is 7 × 8287. Divisors (4): 1, 7, 8287, 58009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58009: a semiprime: 7 × 8287, the product of two primes.
- 2
58009 is composite. Its prime factorisation is
- 3
The divisors add up to 66304; without 58009 itself that is 8295, so 58009 is deficient (8295 is less than 58009). Euler's totient φ(58009) = 49716 numbers up to 58009 share no factor with it.
- 4
The digits of 58009 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58009 = 7 \times 8287 \]
58009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 66304 |
| Euler totient φ(n) | 49716 |
| Square | 3365044081 |
| Cube | 195202842094729 |
| Square root | 240.850576 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8009 × |
58009 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and nine |
| Binary (base 2) | 1110001010011001 |
| Octal (base 8) | 161231 |
| Hexadecimal (base 16) | E299 |
| Base 3 | 2221120111 |
| As time | 58009 seconds = 16 h 6 min 49 s |
Is 58009 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 4) | 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 | Yes (58009 ÷ 7 = 8287) | 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 4) | 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 6) | 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 58009 a prime number?
No. 58009 = 7 × 8287, so it is divisible by 7.
What are the factors of 58009?
1, 7, 8287, 58009.
What is 58009 in binary?
1110001010011001 (hexadecimal E299, octal 161231).
What is the square root of 58009?
About 240.8506.
Is 58009 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58009?
58009 is a semiprime: 7 × 8287, the product of two primes.