The number 58007
58007 is a composite number with 8 divisors. Its prime factorisation is 19 × 43 × 71. Divisors (8): 1, 19, 43, 71, 817, 1349, 3053, 58007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58007 is composite. Its prime factorisation is
- 3
The divisors add up to 63360; without 58007 itself that is 5353, so 58007 is deficient (5353 is less than 58007). Euler's totient φ(58007) = 52920 numbers up to 58007 share no factor with it.
- 4
The digits of 58007 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58007 = 19 \times 43 \times 71 \]
58007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 63360 |
| Euler totient φ(n) | 52920 |
| Square | 3364812049 |
| Cube | 195182652526343 |
| Square root | 240.846424 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8007 × |
58007 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and seven |
| Binary (base 2) | 1110001010010111 |
| Octal (base 8) | 161227 |
| Hexadecimal (base 16) | E297 |
| Base 3 | 2221120102 |
| As time | 58007 seconds = 16 h 6 min 47 s |
Is 58007 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 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 7) | 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 4) | 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 58007 a prime number?
No. 58007 = 19 × 43 × 71, so it is divisible by 19.
What are the factors of 58007?
1, 19, 43, 71, 817, 1349, 3053, 58007.
What is 58007 in binary?
1110001010010111 (hexadecimal E297, octal 161227).
What is the square root of 58007?
About 240.8464.
Is 58007 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 58007?
It is a composite number with 8 divisors.