The number 58880
58880 is a composite number with 40 divisors. Its prime factorisation is × 5 × 23. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115 … 58880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58880 is composite. Its prime factorisation is
- 3
The divisors add up to 147312; without 58880 itself that is 88432, so 58880 is abundant (88432 is more than 58880). Euler's totient φ(58880) = 22528 numbers up to 58880 share no factor with it.
- 4
The digits of 58880 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58880 = 2^{9} \times 5 \times 23 \]58880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 147312 |
| Euler totient φ(n) | 22528 |
| Square | 3466854400 |
| Cube | 204128387072000 |
| Square root | 242.652014 (= 16√230) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 42 |
| Scientific notation | 5.888 × |
58880 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and eighty |
| Binary (base 2) | 1110011000000000 |
| Octal (base 8) | 163000 |
| Hexadecimal (base 16) | E600 |
| Base 3 | 2222202202 |
| As time | 58880 seconds = 16 h 21 min 20 s |
Is 58880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58880 ÷ 2 = 29440) | 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 (58880 ÷ 4 = 14720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58880 ÷ 5 = 11776) | 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 | Yes (58880 ÷ 8 = 7360) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58880 ÷ 10 = 5888) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 58880 a prime number?
No. 58880 = × 5 × 23, so it is divisible by 2.
What are the factors of 58880?
1, 2, 4, 5, 8, 10, 16, 20, 23, 32, 40, 46, 64, 80, 92, 115, 128, 160, 184, 230, 256, 320, 368, 460, 512, 640, 736, 920, 1280, 1472, 1840, 2560, 2944, 3680, 5888, 7360, 11776, 14720, 29440, 58880.
What is 58880 in binary?
1110011000000000 (hexadecimal E600, octal 163000).
What is the square root of 58880?
About 242.6520, exactly 16√230.
Is 58880 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 58880?
It is a composite number with 40 divisors.