The number 58029
58029 is a composite number with 12 divisors. Its prime factorisation is 3 × 23 × . Divisors (12): 1, 3, 23, 29, 69, 87, 667, 841, 2001, 2523, 19343, 58029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58029 is composite. Its prime factorisation is
- 3
The divisors add up to 83616; without 58029 itself that is 25587, so 58029 is deficient (25587 is less than 58029). Euler's totient φ(58029) = 35728 numbers up to 58029 share no factor with it.
- 4
The digits of 58029 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58029 = 3 \times 23 \times 29^{2} \]58029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83616 |
| Euler totient φ(n) | 35728 |
| Square | 3367364841 |
| Cube | 195404814358389 |
| Square root | 240.892092 (= 29√69) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.8029 × |
58029 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and twenty-nine |
| Binary (base 2) | 1110001010101101 |
| Octal (base 8) | 161255 |
| Hexadecimal (base 16) | E2AD |
| Base 3 | 2221121020 |
| As time | 58029 seconds = 16 h 7 min 9 s |
Is 58029 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 (58029 ÷ 3 = 19343) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58029 a prime number?
No. 58029 = 3 × 23 × , so it is divisible by 3.
What are the factors of 58029?
1, 3, 23, 29, 69, 87, 667, 841, 2001, 2523, 19343, 58029.
What is 58029 in binary?
1110001010101101 (hexadecimal E2AD, octal 161255).
What is the square root of 58029?
About 240.8921, exactly 29√69.
Is 58029 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58029?
It is a composite number with 12 divisors.