The number 42666
42666 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 547. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 547, 1094, 1641, 3282, 7111, 14222, 21333, 42666.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
42666 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42666 is composite. Its prime factorisation is
- 3
The divisors add up to 92064; without 42666 itself that is 49398, so 42666 is abundant (49398 is more than 42666). Euler's totient φ(42666) = 13104 numbers up to 42666 share no factor with it.
- 4
The digits of 42666 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42666 = 2 \times 3 \times 13 \times 547 \]
42666 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 92064 |
| Euler totient φ(n) | 13104 |
| Square | 1820387556 |
| Cube | 77668655464296 |
| Square root | 206.557498 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.2666 × |
42666 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand six hundred and sixty-six |
| Binary (base 2) | 1010011010101010 |
| Octal (base 8) | 123252 |
| Hexadecimal (base 16) | A6AA |
| Base 3 | 2011112020 |
| As time | 42666 seconds = 11 h 51 min 6 s |
Is 42666 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42666 ÷ 2 = 21333) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42666 ÷ 3 = 14222) | 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 (42666 ÷ 6 = 7111) | 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 2) | 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 8) | 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 42666 a prime number?
No. 42666 = 2 × 3 × 13 × 547, so it is divisible by 2.
What are the factors of 42666?
1, 2, 3, 6, 13, 26, 39, 78, 547, 1094, 1641, 3282, 7111, 14222, 21333, 42666.
What is 42666 in binary?
1010011010101010 (hexadecimal A6AA, octal 123252).
What is the square root of 42666?
About 206.5575.
Is 42666 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 42666?
It is a composite number with 16 divisors.