The number 42216
42216 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1759. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1759, 3518, 5277, 7036, 10554, 14072, 21108, 42216.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42216 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42216 is composite. Its prime factorisation is
- 3
The divisors add up to 105600; without 42216 itself that is 63384, so 42216 is abundant (63384 is more than 42216). Euler's totient φ(42216) = 14064 numbers up to 42216 share no factor with it.
- 4
The digits of 42216 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 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42216 = 2^{3} \times 3 \times 1759 \]42216 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105600 |
| Euler totient φ(n) | 14064 |
| Square | 1782190656 |
| Cube | 75236960733696 |
| Square root | 205.465326 (= 2√10554) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2216 × |
42216 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand two hundred and sixteen |
| Binary (base 2) | 1010010011101000 |
| Octal (base 8) | 122350 |
| Hexadecimal (base 16) | A4E8 |
| Base 3 | 2010220120 |
| As time | 42216 seconds = 11 h 43 min 36 s |
Is 42216 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42216 ÷ 2 = 21108) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42216 ÷ 3 = 14072) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42216 ÷ 4 = 10554) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42216 ÷ 6 = 7036) | 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 | Yes (42216 ÷ 8 = 5277) | 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 6) | 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 | Yes (42216 ÷ 12 = 3518) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42216 a prime number?
No. 42216 = × 3 × 1759, so it is divisible by 2.
What are the factors of 42216?
1, 2, 3, 4, 6, 8, 12, 24, 1759, 3518, 5277, 7036, 10554, 14072, 21108, 42216.
What is 42216 in binary?
1010010011101000 (hexadecimal A4E8, octal 122350).
What is the square root of 42216?
About 205.4653, exactly 2√10554.
Is 42216 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42216?
It is a composite number with 16 divisors.