The number 42280
42280 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 151. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 151 … 42280.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42280 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42280 is composite. Its prime factorisation is
- 3
The divisors add up to 109440; without 42280 itself that is 67160, so 42280 is abundant (67160 is more than 42280). Euler's totient φ(42280) = 14400 numbers up to 42280 share no factor with it.
- 4
The digits of 42280 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42280 = 2^{3} \times 5 \times 7 \times 151 \]42280 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 109440 |
| Euler totient φ(n) | 14400 |
| Square | 1787598400 |
| Cube | 75579660352000 |
| Square root | 205.621011 (= 2√10570) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.228 × |
42280 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and eighty |
| Binary (base 2) | 1010010100101000 |
| Octal (base 8) | 122450 |
| Hexadecimal (base 16) | A528 |
| Base 3 | 2010222221 |
| As time | 42280 seconds = 11 h 44 min 40 s |
Is 42280 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42280 ÷ 2 = 21140) | 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 (42280 ÷ 4 = 10570) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42280 ÷ 5 = 8456) | 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 | Yes (42280 ÷ 7 = 6040) | 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 (42280 ÷ 8 = 5285) | 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 (42280 ÷ 10 = 4228) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 42280 a prime number?
No. 42280 = × 5 × 7 × 151, so it is divisible by 2.
What are the factors of 42280?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 151, 280, 302, 604, 755, 1057, 1208, 1510, 2114, 3020, 4228, 5285, 6040, 8456, 10570, 21140, 42280.
What is 42280 in binary?
1010010100101000 (hexadecimal A528, octal 122450).
What is the square root of 42280?
About 205.6210, exactly 2√10570.
Is 42280 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42280?
It is a composite number with 32 divisors.