The number 42880
42880 is a composite number with 32 divisors. Its prime factorisation is × 5 × 67. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 128, 134, 160 … 42880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42880 is composite. Its prime factorisation is
- 3
The divisors add up to 104040; without 42880 itself that is 61160, so 42880 is abundant (61160 is more than 42880). Euler's totient φ(42880) = 16896 numbers up to 42880 share no factor with it.
- 4
The digits of 42880 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42880 = 2^{7} \times 5 \times 67 \]42880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 104040 |
| Euler totient φ(n) | 16896 |
| Square | 1838694400 |
| Cube | 78843215872000 |
| Square root | 207.074866 (= 8√670) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.288 × |
42880 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and eighty |
| Binary (base 2) | 1010011110000000 |
| Octal (base 8) | 123600 |
| Hexadecimal (base 16) | A780 |
| Base 3 | 2011211011 |
| As time | 42880 seconds = 11 h 54 min 40 s |
Is 42880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42880 ÷ 2 = 21440) | 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 (42880 ÷ 4 = 10720) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42880 ÷ 5 = 8576) | 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 5) | 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 (42880 ÷ 8 = 5360) | 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 (42880 ÷ 10 = 4288) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 42880 a prime number?
No. 42880 = × 5 × 67, so it is divisible by 2.
What are the factors of 42880?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 67, 80, 128, 134, 160, 268, 320, 335, 536, 640, 670, 1072, 1340, 2144, 2680, 4288, 5360, 8576, 10720, 21440, 42880.
What is 42880 in binary?
1010011110000000 (hexadecimal A780, octal 123600).
What is the square root of 42880?
About 207.0749, exactly 8√670.
Is 42880 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 42880?
It is a composite number with 32 divisors.