The number 58904
58904 is a composite number with 16 divisors. Its prime factorisation is × 37 × 199. Divisors (16): 1, 2, 4, 8, 37, 74, 148, 199, 296, 398, 796, 1592, 7363, 14726, 29452, 58904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58904 is composite. Its prime factorisation is
- 3
The divisors add up to 114000; without 58904 itself that is 55096, so 58904 is deficient (55096 is less than 58904). Euler's totient φ(58904) = 28512 numbers up to 58904 share no factor with it.
- 4
The digits of 58904 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58904 = 2^{3} \times 37 \times 199 \]58904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 114000 |
| Euler totient φ(n) | 28512 |
| Square | 3469681216 |
| Cube | 204378102347264 |
| Square root | 242.701463 (= 2√14726) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.8904 × |
58904 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and four |
| Binary (base 2) | 1110011000011000 |
| Octal (base 8) | 163030 |
| Hexadecimal (base 16) | E618 |
| Base 3 | 2222210122 |
| As time | 58904 seconds = 16 h 21 min 44 s |
Is 58904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58904 ÷ 2 = 29452) | 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 (58904 ÷ 4 = 14726) | 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 6) | 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 (58904 ÷ 8 = 7363) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 58904 a prime number?
No. 58904 = × 37 × 199, so it is divisible by 2.
What are the factors of 58904?
1, 2, 4, 8, 37, 74, 148, 199, 296, 398, 796, 1592, 7363, 14726, 29452, 58904.
What is 58904 in binary?
1110011000011000 (hexadecimal E618, octal 163030).
What is the square root of 58904?
About 242.7015, exactly 2√14726.
Is 58904 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 58904?
It is a composite number with 16 divisors.