The number 58424
58424 is a composite number with 16 divisors. Its prime factorisation is × 67 × 109. Divisors (16): 1, 2, 4, 8, 67, 109, 134, 218, 268, 436, 536, 872, 7303, 14606, 29212, 58424.
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How to work it out
- 1
58424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58424 is composite. Its prime factorisation is
- 3
The divisors add up to 112200; without 58424 itself that is 53776, so 58424 is deficient (53776 is less than 58424). Euler's totient φ(58424) = 28512 numbers up to 58424 share no factor with it.
- 4
The digits of 58424 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58424 = 2^{3} \times 67 \times 109 \]58424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112200 |
| Euler totient φ(n) | 28512 |
| Square | 3413363776 |
| Cube | 199422365249024 |
| Square root | 241.710571 (= 2√14606) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8424 × |
58424 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and twenty-four |
| Binary (base 2) | 1110010000111000 |
| Octal (base 8) | 162070 |
| Hexadecimal (base 16) | E438 |
| Base 3 | 2222010212 |
| As time | 58424 seconds = 16 h 13 min 44 s |
Is 58424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58424 ÷ 2 = 29212) | 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 | Yes (58424 ÷ 4 = 14606) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (58424 ÷ 8 = 7303) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58424 a prime number?
No. 58424 = × 67 × 109, so it is divisible by 2.
What are the factors of 58424?
1, 2, 4, 8, 67, 109, 134, 218, 268, 436, 536, 872, 7303, 14606, 29212, 58424.
What is 58424 in binary?
1110010000111000 (hexadecimal E438, octal 162070).
What is the square root of 58424?
About 241.7106, exactly 2√14606.
Is 58424 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 58424?
It is a composite number with 16 divisors.