The number 42580
42580 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2129. Divisors (12): 1, 2, 4, 5, 10, 20, 2129, 4258, 8516, 10645, 21290, 42580.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42580: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42580 is composite. Its prime factorisation is
- 3
The divisors add up to 89460; without 42580 itself that is 46880, so 42580 is abundant (46880 is more than 42580). Euler's totient φ(42580) = 17024 numbers up to 42580 share no factor with it.
- 4
The digits of 42580 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42580 = 2^{2} \times 5 \times 2129 \]42580 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89460 |
| Euler totient φ(n) | 17024 |
| Square | 1813056400 |
| Cube | 77199941512000 |
| Square root | 206.349219 (= 2√10645) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.258 × |
42580 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and eighty |
| Binary (base 2) | 1010011001010100 |
| Octal (base 8) | 123124 |
| Hexadecimal (base 16) | A654 |
| Base 3 | 2011102001 |
| As time | 42580 seconds = 11 h 49 min 40 s |
Is 42580 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42580 ÷ 2 = 21290) | 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 (42580 ÷ 4 = 10645) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42580 ÷ 5 = 8516) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42580 ÷ 10 = 4258) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 42580 a prime number?
No. 42580 = × 5 × 2129, so it is divisible by 2.
What are the factors of 42580?
1, 2, 4, 5, 10, 20, 2129, 4258, 8516, 10645, 21290, 42580.
What is 42580 in binary?
1010011001010100 (hexadecimal A654, octal 123124).
What is the square root of 42580?
About 206.3492, exactly 2√10645.
Is 42580 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42580?
42580 is a happy number: repeatedly adding the squares of its digits reaches 1.