The number 24966
24966 is a composite number with 24 divisors. Its prime factorisation is 2 × × 19 × 73. Divisors (24): 1, 2, 3, 6, 9, 18, 19, 38, 57, 73, 114, 146, 171, 219, 342, 438 … 24966.
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How to work it out
- 1
24966 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24966 is composite. Its prime factorisation is
- 3
The divisors add up to 57720; without 24966 itself that is 32754, so 24966 is abundant (32754 is more than 24966). Euler's totient φ(24966) = 7776 numbers up to 24966 share no factor with it.
- 4
The digits of 24966 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24966 = 2 \times 3^{2} \times 19 \times 73 \]24966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 57720 |
| Euler totient φ(n) | 7776 |
| Square | 623301156 |
| Cube | 15561336660696 |
| Square root | 158.006329 (= 3√2774) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4966 × |
24966 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand nine hundred and sixty-six |
| Binary (base 2) | 110000110000110 |
| Octal (base 8) | 60606 |
| Hexadecimal (base 16) | 6186 |
| Base 3 | 1021020200 |
| As time | 24966 seconds = 6 h 56 min 6 s |
Is 24966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24966 ÷ 2 = 12483) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24966 ÷ 3 = 8322) | 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 (24966 ÷ 6 = 4161) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (24966 ÷ 9 = 2774) | 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 7) | 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 24966 a prime number?
No. 24966 = 2 × × 19 × 73, so it is divisible by 2.
What are the factors of 24966?
1, 2, 3, 6, 9, 18, 19, 38, 57, 73, 114, 146, 171, 219, 342, 438, 657, 1314, 1387, 2774, 4161, 8322, 12483, 24966.
What is 24966 in binary?
110000110000110 (hexadecimal 6186, octal 60606).
What is the square root of 24966?
About 158.0063, exactly 3√2774.
Is 24966 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 24966?
It is a composite number with 24 divisors.