The number 58023
58023 is a composite number with 16 divisors. Its prime factorisation is × 7 × 307. Divisors (16): 1, 3, 7, 9, 21, 27, 63, 189, 307, 921, 2149, 2763, 6447, 8289, 19341, 58023.
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How to work it out
- 1
58023 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58023 is composite. Its prime factorisation is
- 3
The divisors add up to 98560; without 58023 itself that is 40537, so 58023 is deficient (40537 is less than 58023). Euler's totient φ(58023) = 33048 numbers up to 58023 share no factor with it.
- 4
The digits of 58023 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58023 = 3^{3} \times 7 \times 307 \]58023 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98560 |
| Euler totient φ(n) | 33048 |
| Square | 3366668529 |
| Cube | 195344208058167 |
| Square root | 240.879638 (= 3√6447) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8023 × |
58023 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and twenty-three |
| Binary (base 2) | 1110001010100111 |
| Octal (base 8) | 161247 |
| Hexadecimal (base 16) | E2A7 |
| Base 3 | 2221121000 |
| As time | 58023 seconds = 16 h 7 min 3 s |
Is 58023 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 | Yes (58023 ÷ 3 = 19341) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (58023 ÷ 7 = 8289) | 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 | Yes (58023 ÷ 9 = 6447) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58023 a prime number?
No. 58023 = × 7 × 307, so it is divisible by 3.
What are the factors of 58023?
1, 3, 7, 9, 21, 27, 63, 189, 307, 921, 2149, 2763, 6447, 8289, 19341, 58023.
What is 58023 in binary?
1110001010100111 (hexadecimal E2A7, octal 161247).
What is the square root of 58023?
About 240.8796, exactly 3√6447.
Is 58023 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58023?
It is a composite number with 16 divisors.