The number 42710
42710 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 4271. Divisors (8): 1, 2, 5, 10, 4271, 8542, 21355, 42710.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42710: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42710 is composite. Its prime factorisation is
- 3
The divisors add up to 76896; without 42710 itself that is 34186, so 42710 is deficient (34186 is less than 42710). Euler's totient φ(42710) = 17080 numbers up to 42710 share no factor with it.
- 4
The digits of 42710 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42710 = 2 \times 5 \times 4271 \]
42710 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76896 |
| Euler totient φ(n) | 17080 |
| Square | 1824144100 |
| Cube | 77909194511000 |
| Square root | 206.663978 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.271 × |
42710 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and ten |
| Binary (base 2) | 1010011011010110 |
| Octal (base 8) | 123326 |
| Hexadecimal (base 16) | A6D6 |
| Base 3 | 2011120212 |
| As time | 42710 seconds = 11 h 51 min 50 s |
Is 42710 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42710 ÷ 2 = 21355) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42710 ÷ 5 = 8542) | 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 | No (remainder 6) | 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 (42710 ÷ 10 = 4271) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42710 a prime number?
No. 42710 = 2 × 5 × 4271, so it is divisible by 2.
What are the factors of 42710?
1, 2, 5, 10, 4271, 8542, 21355, 42710.
What is 42710 in binary?
1010011011010110 (hexadecimal A6D6, octal 123326).
What is the square root of 42710?
About 206.6640.
Is 42710 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 42710?
42710 is a happy number: repeatedly adding the squares of its digits reaches 1.