The number 42417
42417 is a composite number with 8 divisors. Its prime factorisation is × 1571. Divisors (8): 1, 3, 9, 27, 1571, 4713, 14139, 42417.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42417: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
42417 is composite. Its prime factorisation is
- 3
The divisors add up to 62880; without 42417 itself that is 20463, so 42417 is deficient (20463 is less than 42417). Euler's totient φ(42417) = 28260 numbers up to 42417 share no factor with it.
- 4
The digits of 42417 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42417 = 3^{3} \times 1571 \]42417 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62880 |
| Euler totient φ(n) | 28260 |
| Square | 1799201889 |
| Cube | 76316746525713 |
| Square root | 205.953878 (= 3√4713) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2417 × |
42417 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and seventeen |
| Binary (base 2) | 1010010110110001 |
| Octal (base 8) | 122661 |
| Hexadecimal (base 16) | A5B1 |
| Base 3 | 2011012000 |
| As time | 42417 seconds = 11 h 46 min 57 s |
Is 42417 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 (42417 ÷ 3 = 14139) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (42417 ÷ 9 = 4713) | 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 1) | 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 42417 a prime number?
No. 42417 = × 1571, so it is divisible by 3.
What are the factors of 42417?
1, 3, 9, 27, 1571, 4713, 14139, 42417.
What is 42417 in binary?
1010010110110001 (hexadecimal A5B1, octal 122661).
What is the square root of 42417?
About 205.9539, exactly 3√4713.
Is 42417 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 42417?
42417 is a happy number: repeatedly adding the squares of its digits reaches 1.