The number 42366
42366 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 23 × 307. Divisors (16): 1, 2, 3, 6, 23, 46, 69, 138, 307, 614, 921, 1842, 7061, 14122, 21183, 42366.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42366 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42366 is composite. Its prime factorisation is
- 3
The divisors add up to 88704; without 42366 itself that is 46338, so 42366 is abundant (46338 is more than 42366). Euler's totient φ(42366) = 13464 numbers up to 42366 share no factor with it.
- 4
The digits of 42366 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 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42366 = 2 \times 3 \times 23 \times 307 \]
42366 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88704 |
| Euler totient φ(n) | 13464 |
| Square | 1794877956 |
| Cube | 76041799483896 |
| Square root | 205.830027 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 4.2366 × |
42366 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand three hundred and sixty-six |
| Binary (base 2) | 1010010101111110 |
| Octal (base 8) | 122576 |
| Hexadecimal (base 16) | A57E |
| Base 3 | 2011010010 |
| As time | 42366 seconds = 11 h 46 min 6 s |
Is 42366 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42366 ÷ 2 = 21183) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42366 ÷ 3 = 14122) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (42366 ÷ 6 = 7061) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42366 a prime number?
No. 42366 = 2 × 3 × 23 × 307, so it is divisible by 2.
What are the factors of 42366?
1, 2, 3, 6, 23, 46, 69, 138, 307, 614, 921, 1842, 7061, 14122, 21183, 42366.
What is 42366 in binary?
1010010101111110 (hexadecimal A57E, octal 122576).
What is the square root of 42366?
About 205.8300.
Is 42366 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 42366?
It is a composite number with 16 divisors.