The number 5058
5058 is a composite number with 12 divisors. Its prime factorisation is 2 × × 281. Divisors (12): 1, 2, 3, 6, 9, 18, 281, 562, 843, 1686, 2529, 5058.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5058: a Harshad number: divisible by its digit sum 18.
- 2
5058 is composite. Its prime factorisation is
- 3
The divisors add up to 10998; without 5058 itself that is 5940, so 5058 is abundant (5940 is more than 5058). Euler's totient φ(5058) = 1680 numbers up to 5058 share no factor with it.
- 4
The digits of 5058 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 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5058 = 2 \times 3^{2} \times 281 \]5058 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10998 |
| Euler totient φ(n) | 1680 |
| Square | 25583364 |
| Cube | 129400655112 |
| Square root | 71.119618 (= 3√562) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 5.058 × |
5058 in other forms
| Form | Value |
|---|---|
| In words | five thousand and fifty-eight |
| Binary (base 2) | 1001111000010 |
| Octal (base 8) | 11702 |
| Hexadecimal (base 16) | 13C2 |
| Base 3 | 20221100 |
| As time | 5058 seconds = 1 h 24 min 18 s |
Is 5058 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5058 ÷ 2 = 2529) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5058 ÷ 3 = 1686) | 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 | Yes (5058 ÷ 6 = 843) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5058 ÷ 9 = 562) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5058 a prime number?
No. 5058 = 2 × × 281, so it is divisible by 2.
What are the factors of 5058?
1, 2, 3, 6, 9, 18, 281, 562, 843, 1686, 2529, 5058.
What is 5058 in binary?
1001111000010 (hexadecimal 13C2, octal 11702).
What is the square root of 5058?
About 71.1196, exactly 3√562.
Is 5058 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5058?
5058 is a Harshad number: divisible by its digit sum 18.