The number 58688
58688 is a composite number with 28 divisors. Its prime factorisation is × 7 × 131. Divisors (28): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 131, 224, 262, 448 … 58688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58688 is composite. Its prime factorisation is
- 3
The divisors add up to 134112; without 58688 itself that is 75424, so 58688 is abundant (75424 is more than 58688). Euler's totient φ(58688) = 24960 numbers up to 58688 share no factor with it.
- 4
The digits of 58688 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58688 = 2^{6} \times 7 \times 131 \]58688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 134112 |
| Euler totient φ(n) | 24960 |
| Square | 3444281344 |
| Cube | 202137983516672 |
| Square root | 242.256063 (= 8√917) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 5.8688 × |
58688 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand six hundred and eighty-eight |
| Binary (base 2) | 1110010101000000 |
| Octal (base 8) | 162500 |
| Hexadecimal (base 16) | E540 |
| Base 3 | 2222111122 |
| As time | 58688 seconds = 16 h 18 min 8 s |
Is 58688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58688 ÷ 2 = 29344) | 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 (58688 ÷ 4 = 14672) | 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 | Yes (58688 ÷ 7 = 8384) | 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 (58688 ÷ 8 = 7336) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 58688 a prime number?
No. 58688 = × 7 × 131, so it is divisible by 2.
What are the factors of 58688?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 131, 224, 262, 448, 524, 917, 1048, 1834, 2096, 3668, 4192, 7336, 8384, 14672, 29344, 58688.
What is 58688 in binary?
1110010101000000 (hexadecimal E540, octal 162500).
What is the square root of 58688?
About 242.2561, exactly 8√917.
Is 58688 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 58688?
It is a composite number with 28 divisors.