The number 42316
42316 is a composite number with 12 divisors. Its prime factorisation is × 71 × 149. Divisors (12): 1, 2, 4, 71, 142, 149, 284, 298, 596, 10579, 21158, 42316.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42316 is composite. Its prime factorisation is
- 3
The divisors add up to 75600; without 42316 itself that is 33284, so 42316 is deficient (33284 is less than 42316). Euler's totient φ(42316) = 20720 numbers up to 42316 share no factor with it.
- 4
The digits of 42316 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42316 = 2^{2} \times 71 \times 149 \]42316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75600 |
| Euler totient φ(n) | 20720 |
| Square | 1790643856 |
| Cube | 75772885410496 |
| Square root | 205.708532 (= 2√10579) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.2316 × |
42316 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and sixteen |
| Binary (base 2) | 1010010101001100 |
| Octal (base 8) | 122514 |
| Hexadecimal (base 16) | A54C |
| Base 3 | 2011001021 |
| As time | 42316 seconds = 11 h 45 min 16 s |
Is 42316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42316 ÷ 2 = 21158) | 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 | Yes (42316 ÷ 4 = 10579) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 4) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42316 a prime number?
No. 42316 = × 71 × 149, so it is divisible by 2.
What are the factors of 42316?
1, 2, 4, 71, 142, 149, 284, 298, 596, 10579, 21158, 42316.
What is 42316 in binary?
1010010101001100 (hexadecimal A54C, octal 122514).
What is the square root of 42316?
About 205.7085, exactly 2√10579.
Is 42316 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 42316?
It is a composite number with 12 divisors.