The number 58838
58838 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 31 × 73. Divisors (16): 1, 2, 13, 26, 31, 62, 73, 146, 403, 806, 949, 1898, 2263, 4526, 29419, 58838.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58838: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
58838 is composite. Its prime factorisation is
- 3
The divisors add up to 99456; without 58838 itself that is 40618, so 58838 is deficient (40618 is less than 58838). Euler's totient φ(58838) = 25920 numbers up to 58838 share no factor with it.
- 4
The digits of 58838 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58838 = 2 \times 13 \times 31 \times 73 \]
58838 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 99456 |
| Euler totient φ(n) | 25920 |
| Square | 3461910244 |
| Cube | 203691874936472 |
| Square root | 242.565455 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.8838 × |
58838 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and thirty-eight |
| Binary (base 2) | 1110010111010110 |
| Octal (base 8) | 162726 |
| Hexadecimal (base 16) | E5D6 |
| Base 3 | 2222201012 |
| As time | 58838 seconds = 16 h 20 min 38 s |
Is 58838 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58838 ÷ 2 = 29419) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58838 a prime number?
No. 58838 = 2 × 13 × 31 × 73, so it is divisible by 2.
What are the factors of 58838?
1, 2, 13, 26, 31, 62, 73, 146, 403, 806, 949, 1898, 2263, 4526, 29419, 58838.
What is 58838 in binary?
1110010111010110 (hexadecimal E5D6, octal 162726).
What is the square root of 58838?
About 242.5655.
Is 58838 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 58838?
58838 is a happy number: repeatedly adding the squares of its digits reaches 1.