The number 58704
58704 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1223. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1223, 2446, 3669, 4892, 7338, 9784 … 58704.
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How to work it out
- 1
What is special about 58704: a Harshad number: divisible by its digit sum 24.
- 2
58704 is composite. Its prime factorisation is
- 3
The divisors add up to 151776; without 58704 itself that is 93072, so 58704 is abundant (93072 is more than 58704). Euler's totient φ(58704) = 19552 numbers up to 58704 share no factor with it.
- 4
The digits of 58704 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58704 = 2^{4} \times 3 \times 1223 \]58704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 151776 |
| Euler totient φ(n) | 19552 |
| Square | 3446159616 |
| Cube | 202303354097664 |
| Square root | 242.289084 (= 4√3669) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 5.8704 × |
58704 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and four |
| Binary (base 2) | 1110010101010000 |
| Octal (base 8) | 162520 |
| Hexadecimal (base 16) | E550 |
| Base 3 | 2222112020 |
| As time | 58704 seconds = 16 h 18 min 24 s |
Is 58704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58704 ÷ 2 = 29352) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58704 ÷ 3 = 19568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58704 ÷ 4 = 14676) | 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 (58704 ÷ 6 = 9784) | 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 (58704 ÷ 8 = 7338) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58704 ÷ 12 = 4892) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58704 a prime number?
No. 58704 = × 3 × 1223, so it is divisible by 2.
What are the factors of 58704?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1223, 2446, 3669, 4892, 7338, 9784, 14676, 19568, 29352, 58704.
What is 58704 in binary?
1110010101010000 (hexadecimal E550, octal 162520).
What is the square root of 58704?
About 242.2891, exactly 4√3669.
Is 58704 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58704?
58704 is a Harshad number: divisible by its digit sum 24.