The number 42416
42416 is a composite number with 20 divisors. Its prime factorisation is × 11 × 241. Divisors (20): 1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 241, 482, 964, 1928, 2651, 3856 … 42416.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42416 is composite. Its prime factorisation is
- 3
The divisors add up to 90024; without 42416 itself that is 47608, so 42416 is abundant (47608 is more than 42416). Euler's totient φ(42416) = 19200 numbers up to 42416 share no factor with it.
- 4
The digits of 42416 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42416 = 2^{4} \times 11 \times 241 \]42416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 90024 |
| Euler totient φ(n) | 19200 |
| Square | 1799117056 |
| Cube | 76311349047296 |
| Square root | 205.951451 (= 4√2651) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.2416 × |
42416 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand four hundred and sixteen |
| Binary (base 2) | 1010010110110000 |
| Octal (base 8) | 122660 |
| Hexadecimal (base 16) | A5B0 |
| Base 3 | 2011011222 |
| As time | 42416 seconds = 11 h 46 min 56 s |
Is 42416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42416 ÷ 2 = 21208) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42416 ÷ 4 = 10604) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (42416 ÷ 8 = 5302) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (42416 ÷ 11 = 3856) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42416 a prime number?
No. 42416 = × 11 × 241, so it is divisible by 2.
What are the factors of 42416?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176, 241, 482, 964, 1928, 2651, 3856, 5302, 10604, 21208, 42416.
What is 42416 in binary?
1010010110110000 (hexadecimal A5B0, octal 122660).
What is the square root of 42416?
About 205.9515, exactly 4√2651.
Is 42416 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 42416?
It is a composite number with 20 divisors.