The number 42317
42317 is a composite number with 4 divisors. Its prime factorisation is 11 × 3847. Divisors (4): 1, 11, 3847, 42317.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42317: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3847, the product of two primes.
- 2
42317 is composite. Its prime factorisation is
- 3
The divisors add up to 46176; without 42317 itself that is 3859, so 42317 is deficient (3859 is less than 42317). Euler's totient φ(42317) = 38460 numbers up to 42317 share no factor with it.
- 4
The digits of 42317 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42317 = 11 \times 3847 \]
42317 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 46176 |
| Euler totient φ(n) | 38460 |
| Square | 1790728489 |
| Cube | 75778257469013 |
| Square root | 205.710962 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2317 × |
42317 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and seventeen |
| Binary (base 2) | 1010010101001101 |
| Octal (base 8) | 122515 |
| Hexadecimal (base 16) | A54D |
| Base 3 | 2011001022 |
| As time | 42317 seconds = 11 h 45 min 17 s |
Is 42317 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 | Yes (42317 ÷ 11 = 3847) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42317 a prime number?
No. 42317 = 11 × 3847, so it is divisible by 11.
What are the factors of 42317?
1, 11, 3847, 42317.
What is 42317 in binary?
1010010101001101 (hexadecimal A54D, octal 122515).
What is the square root of 42317?
About 205.7110.
Is 42317 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42317?
42317 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 11 × 3847, the product of two primes.