The number 58848
58848 is a composite number with 24 divisors. Its prime factorisation is × 3 × 613. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 613, 1226, 1839, 2452 … 58848.
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How to work it out
- 1
58848 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58848 is composite. Its prime factorisation is
- 3
The divisors add up to 154728; without 58848 itself that is 95880, so 58848 is abundant (95880 is more than 58848). Euler's totient φ(58848) = 19584 numbers up to 58848 share no factor with it.
- 4
The digits of 58848 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58848 = 2^{5} \times 3 \times 613 \]58848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 154728 |
| Euler totient φ(n) | 19584 |
| Square | 3463087104 |
| Cube | 203795749896192 |
| Square root | 242.586067 (= 4√3678) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.8848 × |
58848 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and forty-eight |
| Binary (base 2) | 1110010111100000 |
| Octal (base 8) | 162740 |
| Hexadecimal (base 16) | E5E0 |
| Base 3 | 2222201120 |
| As time | 58848 seconds = 16 h 20 min 48 s |
Is 58848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58848 ÷ 2 = 29424) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58848 ÷ 3 = 19616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58848 ÷ 4 = 14712) | 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 (58848 ÷ 6 = 9808) | 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 (58848 ÷ 8 = 7356) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (58848 ÷ 12 = 4904) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58848 a prime number?
No. 58848 = × 3 × 613, so it is divisible by 2.
What are the factors of 58848?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 613, 1226, 1839, 2452, 3678, 4904, 7356, 9808, 14712, 19616, 29424, 58848.
What is 58848 in binary?
1110010111100000 (hexadecimal E5E0, octal 162740).
What is the square root of 58848?
About 242.5861, exactly 4√3678.
Is 58848 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 58848?
It is a composite number with 24 divisors.