The number 24066
24066 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 191. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 191, 382, 573, 1146 … 24066.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 24066: a Harshad number: divisible by its digit sum 18.
- 2
24066 is composite. Its prime factorisation is
- 3
The divisors add up to 59904; without 24066 itself that is 35838, so 24066 is abundant (35838 is more than 24066). Euler's totient φ(24066) = 6840 numbers up to 24066 share no factor with it.
- 4
The digits of 24066 add up to 18, 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
\[ 24066 = 2 \times 3^{2} \times 7 \times 191 \]24066 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 59904 |
| Euler totient φ(n) | 6840 |
| Square | 579172356 |
| Cube | 13938361919496 |
| Square root | 155.132202 (= 3√2674) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.4066 × |
24066 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and sixty-six |
| Binary (base 2) | 101111000000010 |
| Octal (base 8) | 57002 |
| Hexadecimal (base 16) | 5E02 |
| Base 3 | 1020000100 |
| As time | 24066 seconds = 6 h 41 min 6 s |
Is 24066 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24066 ÷ 2 = 12033) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24066 ÷ 3 = 8022) | 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 (24066 ÷ 6 = 4011) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (24066 ÷ 7 = 3438) | 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 | Yes (24066 ÷ 9 = 2674) | 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 9) | 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 24066 a prime number?
No. 24066 = 2 × × 7 × 191, so it is divisible by 2.
What are the factors of 24066?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 191, 382, 573, 1146, 1337, 1719, 2674, 3438, 4011, 8022, 12033, 24066.
What is 24066 in binary?
101111000000010 (hexadecimal 5E02, octal 57002).
What is the square root of 24066?
About 155.1322, exactly 3√2674.
Is 24066 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 24066?
24066 is a Harshad number: divisible by its digit sum 18.