The number 58480
58480 is a composite number with 40 divisors. Its prime factorisation is × 5 × 17 × 43. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 43, 68, 80, 85, 86 … 58480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58480 is composite. Its prime factorisation is
- 3
The divisors add up to 147312; without 58480 itself that is 88832, so 58480 is abundant (88832 is more than 58480). Euler's totient φ(58480) = 21504 numbers up to 58480 share no factor with it.
- 4
The digits of 58480 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58480 = 2^{4} \times 5 \times 17 \times 43 \]58480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 147312 |
| Euler totient φ(n) | 21504 |
| Square | 3419910400 |
| Cube | 199996360192000 |
| Square root | 241.826384 (= 4√3655) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.848 × |
58480 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand four hundred and eighty |
| Binary (base 2) | 1110010001110000 |
| Octal (base 8) | 162160 |
| Hexadecimal (base 16) | E470 |
| Base 3 | 2222012221 |
| As time | 58480 seconds = 16 h 14 min 40 s |
Is 58480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58480 ÷ 2 = 29240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58480 ÷ 4 = 14620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58480 ÷ 5 = 11696) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (58480 ÷ 8 = 7310) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58480 ÷ 10 = 5848) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58480 a prime number?
No. 58480 = × 5 × 17 × 43, so it is divisible by 2.
What are the factors of 58480?
1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 43, 68, 80, 85, 86, 136, 170, 172, 215, 272, 340, 344, 430, 680, 688, 731, 860, 1360, 1462, 1720, 2924, 3440, 3655, 5848, 7310, 11696, 14620, 29240, 58480.
What is 58480 in binary?
1110010001110000 (hexadecimal E470, octal 162160).
What is the square root of 58480?
About 241.8264, exactly 4√3655.
Is 58480 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 58480?
It is a composite number with 40 divisors.