The number 42966
42966 is a composite number with 48 divisors. Its prime factorisation is 2 × × 7 × 11 × 31. Divisors (48): 1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 31, 33, 42, 62, 63 … 42966.
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How to work it out
- 1
42966 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
42966 is composite. Its prime factorisation is
- 3
The divisors add up to 119808; without 42966 itself that is 76842, so 42966 is abundant (76842 is more than 42966). Euler's totient φ(42966) = 10800 numbers up to 42966 share no factor with it.
- 4
The digits of 42966 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42966 = 2 \times 3^{2} \times 7 \times 11 \times 31 \]42966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 119808 |
| Euler totient φ(n) | 10800 |
| Square | 1846077156 |
| Cube | 79318551084696 |
| Square root | 207.282416 (= 3√4774) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.2966 × |
42966 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand nine hundred and sixty-six |
| Binary (base 2) | 1010011111010110 |
| Octal (base 8) | 123726 |
| Hexadecimal (base 16) | A7D6 |
| Base 3 | 2011221100 |
| As time | 42966 seconds = 11 h 56 min 6 s |
Is 42966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42966 ÷ 2 = 21483) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42966 ÷ 3 = 14322) | 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 (42966 ÷ 6 = 7161) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (42966 ÷ 7 = 6138) | 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 | Yes (42966 ÷ 9 = 4774) | 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 (42966 ÷ 11 = 3906) | 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 42966 a prime number?
No. 42966 = 2 × × 7 × 11 × 31, so it is divisible by 2.
What are the factors of 42966?
1, 2, 3, 6, 7, 9, 11, 14, 18, 21, 22, 31, 33, 42, 62, 63, 66, 77, 93, 99, 126, 154, 186, 198, 217, 231, 279, 341, 434, 462, 558, 651, 682, 693, 1023, 1302, 1386, 1953, 2046, 2387, 3069, 3906, 4774, 6138, 7161, 14322, 21483, 42966.
What is 42966 in binary?
1010011111010110 (hexadecimal A7D6, octal 123726).
What is the square root of 42966?
About 207.2824, exactly 3√4774.
Is 42966 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 42966?
It is a composite number with 48 divisors.