The number 42217
42217 is a composite number with 8 divisors. Its prime factorisation is 7 × 37 × 163. Divisors (8): 1, 7, 37, 163, 259, 1141, 6031, 42217.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42217 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42217 is composite. Its prime factorisation is
- 3
The divisors add up to 49856; without 42217 itself that is 7639, so 42217 is deficient (7639 is less than 42217). Euler's totient φ(42217) = 34992 numbers up to 42217 share no factor with it.
- 4
The digits of 42217 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42217 = 7 \times 37 \times 163 \]
42217 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49856 |
| Euler totient φ(n) | 34992 |
| Square | 1782275089 |
| Cube | 75242307432313 |
| Square root | 205.467759 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.2217 × |
42217 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and seventeen |
| Binary (base 2) | 1010010011101001 |
| Octal (base 8) | 122351 |
| Hexadecimal (base 16) | A4E9 |
| Base 3 | 2010220121 |
| As time | 42217 seconds = 11 h 43 min 37 s |
Is 42217 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 | Yes (42217 ÷ 7 = 6031) | 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 | No (remainder 7) | 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 10) | 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 42217 a prime number?
No. 42217 = 7 × 37 × 163, so it is divisible by 7.
What are the factors of 42217?
1, 7, 37, 163, 259, 1141, 6031, 42217.
What is 42217 in binary?
1010010011101001 (hexadecimal A4E9, octal 122351).
What is the square root of 42217?
About 205.4678.
Is 42217 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42217?
It is a composite number with 8 divisors.