The number 42117
42117 is a composite number with 8 divisors. Its prime factorisation is 3 × 101 × 139. Divisors (8): 1, 3, 101, 139, 303, 417, 14039, 42117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42117 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42117 is composite. Its prime factorisation is
- 3
The divisors add up to 57120; without 42117 itself that is 15003, so 42117 is deficient (15003 is less than 42117). Euler's totient φ(42117) = 27600 numbers up to 42117 share no factor with it.
- 4
The digits of 42117 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42117 = 3 \times 101 \times 139 \]
42117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57120 |
| Euler totient φ(n) | 27600 |
| Square | 1773841689 |
| Cube | 74708890415613 |
| Square root | 205.224268 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.2117 × |
42117 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand one hundred and seventeen |
| Binary (base 2) | 1010010010000101 |
| Octal (base 8) | 122205 |
| Hexadecimal (base 16) | A485 |
| Base 3 | 2010202220 |
| As time | 42117 seconds = 11 h 41 min 57 s |
Is 42117 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 (42117 ÷ 3 = 14039) | 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 5) | 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 6) | 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 9) | 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 42117 a prime number?
No. 42117 = 3 × 101 × 139, so it is divisible by 3.
What are the factors of 42117?
1, 3, 101, 139, 303, 417, 14039, 42117.
What is 42117 in binary?
1010010010000101 (hexadecimal A485, octal 122205).
What is the square root of 42117?
About 205.2243.
Is 42117 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42117?
It is a composite number with 8 divisors.