The number 42816
42816 is a composite number with 28 divisors. Its prime factorisation is × 3 × 223. Divisors (28): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 223, 446 … 42816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42816 is composite. Its prime factorisation is
- 3
The divisors add up to 113792; without 42816 itself that is 70976, so 42816 is abundant (70976 is more than 42816). Euler's totient φ(42816) = 14208 numbers up to 42816 share no factor with it.
- 4
The digits of 42816 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42816 = 2^{6} \times 3 \times 223 \]42816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 113792 |
| Euler totient φ(n) | 14208 |
| Square | 1833209856 |
| Cube | 78490713194496 |
| Square root | 206.920275 (= 8√669) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.2816 × |
42816 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand eight hundred and sixteen |
| Binary (base 2) | 1010011101000000 |
| Octal (base 8) | 123500 |
| Hexadecimal (base 16) | A740 |
| Base 3 | 2011201210 |
| As time | 42816 seconds = 11 h 53 min 36 s |
Is 42816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42816 ÷ 2 = 21408) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42816 ÷ 3 = 14272) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42816 ÷ 4 = 10704) | 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 (42816 ÷ 6 = 7136) | 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 | Yes (42816 ÷ 8 = 5352) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42816 ÷ 12 = 3568) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42816 a prime number?
No. 42816 = × 3 × 223, so it is divisible by 2.
What are the factors of 42816?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 223, 446, 669, 892, 1338, 1784, 2676, 3568, 5352, 7136, 10704, 14272, 21408, 42816.
What is 42816 in binary?
1010011101000000 (hexadecimal A740, octal 123500).
What is the square root of 42816?
About 206.9203, exactly 8√669.
Is 42816 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42816?
It is a composite number with 28 divisors.