The number 42560
42560 is a composite number with 56 divisors. Its prime factorisation is × 5 × 7 × 19. Divisors (56): 1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 32, 35, 38, 40 … 42560.
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How to work it out
- 1
42560 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42560 is composite. Its prime factorisation is
- 3
The divisors add up to 121920; without 42560 itself that is 79360, so 42560 is abundant (79360 is more than 42560). Euler's totient φ(42560) = 13824 numbers up to 42560 share no factor with it.
- 4
The digits of 42560 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42560 = 2^{6} \times 5 \times 7 \times 19 \]42560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 121920 |
| Euler totient φ(n) | 13824 |
| Square | 1811353600 |
| Cube | 77091209216000 |
| Square root | 206.300751 (= 8√665) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.256 × |
42560 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and sixty |
| Binary (base 2) | 1010011001000000 |
| Octal (base 8) | 123100 |
| Hexadecimal (base 16) | A640 |
| Base 3 | 2011101022 |
| As time | 42560 seconds = 11 h 49 min 20 s |
Is 42560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42560 ÷ 2 = 21280) | 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 (42560 ÷ 4 = 10640) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42560 ÷ 5 = 8512) | 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 (42560 ÷ 7 = 6080) | 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 (42560 ÷ 8 = 5320) | 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 | Yes (42560 ÷ 10 = 4256) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 42560 a prime number?
No. 42560 = × 5 × 7 × 19, so it is divisible by 2.
What are the factors of 42560?
1, 2, 4, 5, 7, 8, 10, 14, 16, 19, 20, 28, 32, 35, 38, 40, 56, 64, 70, 76, 80, 95, 112, 133, 140, 152, 160, 190, 224, 266, 280, 304, 320, 380, 448, 532, 560, 608, 665, 760, 1064, 1120, 1216, 1330, 1520, 2128, 2240, 2660, 3040, 4256, 5320, 6080, 8512, 10640, 21280, 42560.
What is 42560 in binary?
1010011001000000 (hexadecimal A640, octal 123100).
What is the square root of 42560?
About 206.3008, exactly 8√665.
Is 42560 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42560?
It is a composite number with 56 divisors.