The number 58104
58104 is a composite number with 32 divisors. Its prime factorisation is × × 269. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216 … 58104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58104: a Harshad number: divisible by its digit sum 18.
- 2
58104 is composite. Its prime factorisation is
- 3
The divisors add up to 162000; without 58104 itself that is 103896, so 58104 is abundant (103896 is more than 58104). Euler's totient φ(58104) = 19296 numbers up to 58104 share no factor with it.
- 4
The digits of 58104 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58104 = 2^{3} \times 3^{3} \times 269 \]58104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 162000 |
| Euler totient φ(n) | 19296 |
| Square | 3376074816 |
| Cube | 196163451108864 |
| Square root | 241.047713 (= 6√1614) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8104 × |
58104 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand one hundred and four |
| Binary (base 2) | 1110001011111000 |
| Octal (base 8) | 161370 |
| Hexadecimal (base 16) | E2F8 |
| Base 3 | 2221201000 |
| As time | 58104 seconds = 16 h 8 min 24 s |
Is 58104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58104 ÷ 2 = 29052) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58104 ÷ 3 = 19368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58104 ÷ 4 = 14526) | 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 (58104 ÷ 6 = 9684) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (58104 ÷ 8 = 7263) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58104 ÷ 9 = 6456) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58104 ÷ 12 = 4842) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58104 a prime number?
No. 58104 = × × 269, so it is divisible by 2.
What are the factors of 58104?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216, 269, 538, 807, 1076, 1614, 2152, 2421, 3228, 4842, 6456, 7263, 9684, 14526, 19368, 29052, 58104.
What is 58104 in binary?
1110001011111000 (hexadecimal E2F8, octal 161370).
What is the square root of 58104?
About 241.0477, exactly 6√1614.
Is 58104 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 58104?
58104 is a Harshad number: divisible by its digit sum 18.