The number 580
580 is a composite number with 12 divisors. Its prime factorisation is × 5 × 29. Divisors (12): 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
580 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
580 is composite. Its prime factorisation is
- 3
The divisors add up to 1260; without 580 itself that is 680, so 580 is abundant (680 is more than 580). Euler's totient φ(580) = 224 numbers up to 580 share no factor with it.
- 4
The digits of 580 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 580 = 2^{2} \times 5 \times 29 \]580 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 1260 |
| Euler totient φ(n) | 224 |
| Square | 336400 |
| Cube | 195112000 |
| Square root | 24.083189 (= 2√145) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 118 |
| Scientific notation | 5.8 × |
580 in other forms
| Form | Value |
|---|---|
| In words | five hundred and eighty |
| Roman numerals | DLXXX |
| Binary (base 2) | 1001000100 |
| Octal (base 8) | 1104 |
| Hexadecimal (base 16) | 244 |
| Base 3 | 210111 |
| As time | 580 seconds = 9 min 40 s |
Is 580 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (580 ÷ 2 = 290) | 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 (580 ÷ 4 = 145) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (580 ÷ 5 = 116) | 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 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (580 ÷ 10 = 58) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 580 a prime number?
No. 580 = × 5 × 29, so it is divisible by 2.
What are the factors of 580?
1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580.
What is 580 in binary?
1001000100 (hexadecimal 244, octal 1104).
What is the square root of 580?
About 24.0832, exactly 2√145.
What is 580 in Roman numerals?
DLXXX.
Is 580 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 580?
It is a composite number with 12 divisors.