The number 42760
42760 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1069. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1069, 2138, 4276, 5345, 8552, 10690, 21380, 42760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42760 is composite. Its prime factorisation is
- 3
The divisors add up to 96300; without 42760 itself that is 53540, so 42760 is abundant (53540 is more than 42760). Euler's totient φ(42760) = 17088 numbers up to 42760 share no factor with it.
- 4
The digits of 42760 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42760 = 2^{3} \times 5 \times 1069 \]42760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 96300 |
| Euler totient φ(n) | 17088 |
| Square | 1828417600 |
| Cube | 78183136576000 |
| Square root | 206.784912 (= 2√10690) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.276 × |
42760 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and sixty |
| Binary (base 2) | 1010011100001000 |
| Octal (base 8) | 123410 |
| Hexadecimal (base 16) | A708 |
| Base 3 | 2011122201 |
| As time | 42760 seconds = 11 h 52 min 40 s |
Is 42760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42760 ÷ 2 = 21380) | 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 (42760 ÷ 4 = 10690) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42760 ÷ 5 = 8552) | 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 4) | 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 (42760 ÷ 8 = 5345) | 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 (42760 ÷ 10 = 4276) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 42760 a prime number?
No. 42760 = × 5 × 1069, so it is divisible by 2.
What are the factors of 42760?
1, 2, 4, 5, 8, 10, 20, 40, 1069, 2138, 4276, 5345, 8552, 10690, 21380, 42760.
What is 42760 in binary?
1010011100001000 (hexadecimal A708, octal 123410).
What is the square root of 42760?
About 206.7849, exactly 2√10690.
Is 42760 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42760?
It is a composite number with 16 divisors.