The number 58404
58404 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 157. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 157, 186, 314, 372, 471, 628 … 58404.
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How to work it out
- 1
58404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58404 is composite. Its prime factorisation is
- 3
The divisors add up to 141568; without 58404 itself that is 83164, so 58404 is abundant (83164 is more than 58404). Euler's totient φ(58404) = 18720 numbers up to 58404 share no factor with it.
- 4
The digits of 58404 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58404 = 2^{2} \times 3 \times 31 \times 157 \]58404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 141568 |
| Euler totient φ(n) | 18720 |
| Square | 3411027216 |
| Cube | 199217633523264 |
| Square root | 241.669195 (= 2√14601) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8404 × |
58404 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and four |
| Binary (base 2) | 1110010000100100 |
| Octal (base 8) | 162044 |
| Hexadecimal (base 16) | E424 |
| Base 3 | 2222010010 |
| As time | 58404 seconds = 16 h 13 min 24 s |
Is 58404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58404 ÷ 2 = 29202) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58404 ÷ 3 = 19468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58404 ÷ 4 = 14601) | 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 | Yes (58404 ÷ 6 = 9734) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58404 ÷ 12 = 4867) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58404 a prime number?
No. 58404 = × 3 × 31 × 157, so it is divisible by 2.
What are the factors of 58404?
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 157, 186, 314, 372, 471, 628, 942, 1884, 4867, 9734, 14601, 19468, 29202, 58404.
What is 58404 in binary?
1110010000100100 (hexadecimal E424, octal 162044).
What is the square root of 58404?
About 241.6692, exactly 2√14601.
Is 58404 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 58404?
It is a composite number with 24 divisors.