The number 42517
42517 is a composite number with 8 divisors. Its prime factorisation is 17 × 41 × 61. Divisors (8): 1, 17, 41, 61, 697, 1037, 2501, 42517.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42517 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42517 is composite. Its prime factorisation is
- 3
The divisors add up to 46872; without 42517 itself that is 4355, so 42517 is deficient (4355 is less than 42517). Euler's totient φ(42517) = 38400 numbers up to 42517 share no factor with it.
- 4
The digits of 42517 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42517 = 17 \times 41 \times 61 \]
42517 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46872 |
| Euler totient φ(n) | 38400 |
| Square | 1807695289 |
| Cube | 76857780602413 |
| Square root | 206.196508 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2517 × |
42517 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and seventeen |
| Binary (base 2) | 1010011000010101 |
| Octal (base 8) | 123025 |
| Hexadecimal (base 16) | A615 |
| Base 3 | 2011022201 |
| As time | 42517 seconds = 11 h 48 min 37 s |
Is 42517 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 1) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42517 a prime number?
No. 42517 = 17 × 41 × 61, so it is divisible by 17.
What are the factors of 42517?
1, 17, 41, 61, 697, 1037, 2501, 42517.
What is 42517 in binary?
1010011000010101 (hexadecimal A615, octal 123025).
What is the square root of 42517?
About 206.1965.
Is 42517 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 42517?
It is a composite number with 8 divisors.