The number 58804
58804 is a composite number with 12 divisors. Its prime factorisation is × 61 × 241. Divisors (12): 1, 2, 4, 61, 122, 241, 244, 482, 964, 14701, 29402, 58804.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58804 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58804 is composite. Its prime factorisation is
- 3
The divisors add up to 105028; without 58804 itself that is 46224, so 58804 is deficient (46224 is less than 58804). Euler's totient φ(58804) = 28800 numbers up to 58804 share no factor with it.
- 4
The digits of 58804 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58804 = 2^{2} \times 61 \times 241 \]58804 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105028 |
| Euler totient φ(n) | 28800 |
| Square | 3457910416 |
| Cube | 203338964102464 |
| Square root | 242.495361 (= 2√14701) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8804 × |
58804 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and four |
| Binary (base 2) | 1110010110110100 |
| Octal (base 8) | 162664 |
| Hexadecimal (base 16) | E5B4 |
| Base 3 | 2222122221 |
| As time | 58804 seconds = 16 h 20 min 4 s |
Is 58804 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58804 ÷ 2 = 29402) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58804 ÷ 4 = 14701) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58804 a prime number?
No. 58804 = × 61 × 241, so it is divisible by 2.
What are the factors of 58804?
1, 2, 4, 61, 122, 241, 244, 482, 964, 14701, 29402, 58804.
What is 58804 in binary?
1110010110110100 (hexadecimal E5B4, octal 162664).
What is the square root of 58804?
About 242.4954, exactly 2√14701.
Is 58804 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58804?
It is a composite number with 12 divisors.