The number 42717
42717 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 491. Divisors (8): 1, 3, 29, 87, 491, 1473, 14239, 42717.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42717 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42717 is composite. Its prime factorisation is
- 3
The divisors add up to 59040; without 42717 itself that is 16323, so 42717 is deficient (16323 is less than 42717). Euler's totient φ(42717) = 27440 numbers up to 42717 share no factor with it.
- 4
The digits of 42717 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42717 = 3 \times 29 \times 491 \]
42717 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59040 |
| Euler totient φ(n) | 27440 |
| Square | 1824742089 |
| Cube | 77947507815813 |
| Square root | 206.680913 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 49 |
| Scientific notation | 4.2717 × |
42717 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand seven hundred and seventeen |
| Binary (base 2) | 1010011011011101 |
| Octal (base 8) | 123335 |
| Hexadecimal (base 16) | A6DD |
| Base 3 | 2011121010 |
| As time | 42717 seconds = 11 h 51 min 57 s |
Is 42717 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42717 ÷ 3 = 14239) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42717 a prime number?
No. 42717 = 3 × 29 × 491, so it is divisible by 3.
What are the factors of 42717?
1, 3, 29, 87, 491, 1473, 14239, 42717.
What is 42717 in binary?
1010011011011101 (hexadecimal A6DD, octal 123335).
What is the square root of 42717?
About 206.6809.
Is 42717 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42717?
It is a composite number with 8 divisors.