The number 42080
42080 is a composite number with 24 divisors. Its prime factorisation is × 5 × 263. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 263, 526, 1052, 1315 … 42080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42080 is composite. Its prime factorisation is
- 3
The divisors add up to 99792; without 42080 itself that is 57712, so 42080 is abundant (57712 is more than 42080). Euler's totient φ(42080) = 16768 numbers up to 42080 share no factor with it.
- 4
The digits of 42080 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42080 = 2^{5} \times 5 \times 263 \]42080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99792 |
| Euler totient φ(n) | 16768 |
| Square | 1770726400 |
| Cube | 74512166912000 |
| Square root | 205.134102 (= 4√2630) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.208 × |
42080 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand and eighty |
| Binary (base 2) | 1010010001100000 |
| Octal (base 8) | 122140 |
| Hexadecimal (base 16) | A460 |
| Base 3 | 2010201112 |
| As time | 42080 seconds = 11 h 41 min 20 s |
Is 42080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42080 ÷ 2 = 21040) | 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 (42080 ÷ 4 = 10520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42080 ÷ 5 = 8416) | 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 | No (remainder 3) | 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 (42080 ÷ 8 = 5260) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42080 ÷ 10 = 4208) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 42080 a prime number?
No. 42080 = × 5 × 263, so it is divisible by 2.
What are the factors of 42080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 263, 526, 1052, 1315, 2104, 2630, 4208, 5260, 8416, 10520, 21040, 42080.
What is 42080 in binary?
1010010001100000 (hexadecimal A460, octal 122140).
What is the square root of 42080?
About 205.1341, exactly 4√2630.
Is 42080 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42080?
It is a composite number with 24 divisors.