The number 58504
58504 is a composite number with 16 divisors. Its prime factorisation is × 71 × 103. Divisors (16): 1, 2, 4, 8, 71, 103, 142, 206, 284, 412, 568, 824, 7313, 14626, 29252, 58504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58504: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58504 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 58504 itself that is 53816, so 58504 is deficient (53816 is less than 58504). Euler's totient φ(58504) = 28560 numbers up to 58504 share no factor with it.
- 4
The digits of 58504 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58504 = 2^{3} \times 71 \times 103 \]58504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 28560 |
| Square | 3422718016 |
| Cube | 200242694808064 |
| Square root | 241.876001 (= 2√14626) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.8504 × |
58504 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand five hundred and four |
| Binary (base 2) | 1110010010001000 |
| Octal (base 8) | 162210 |
| Hexadecimal (base 16) | E488 |
| Base 3 | 2222020211 |
| As time | 58504 seconds = 16 h 15 min 4 s |
Is 58504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58504 ÷ 2 = 29252) | 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 (58504 ÷ 4 = 14626) | 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 5) | 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 (58504 ÷ 8 = 7313) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 6) | 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 58504 a prime number?
No. 58504 = × 71 × 103, so it is divisible by 2.
What are the factors of 58504?
1, 2, 4, 8, 71, 103, 142, 206, 284, 412, 568, 824, 7313, 14626, 29252, 58504.
What is 58504 in binary?
1110010010001000 (hexadecimal E488, octal 162210).
What is the square root of 58504?
About 241.8760, exactly 2√14626.
Is 58504 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58504?
58504 is a happy number: repeatedly adding the squares of its digits reaches 1.