The number 24036
24036 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2003. Divisors (12): 1, 2, 3, 4, 6, 12, 2003, 4006, 6009, 8012, 12018, 24036.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
24036 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
24036 is composite. Its prime factorisation is
- 3
The divisors add up to 56112; without 24036 itself that is 32076, so 24036 is abundant (32076 is more than 24036). Euler's totient φ(24036) = 8008 numbers up to 24036 share no factor with it.
- 4
The digits of 24036 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 24036 = 2^{2} \times 3 \times 2003 \]24036 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56112 |
| Euler totient φ(n) | 8008 |
| Square | 577729296 |
| Cube | 13886301358656 |
| Square root | 155.035480 (= 2√6009) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 95 |
| Scientific notation | 2.4036 × |
24036 in other forms
| Form | Value |
|---|---|
| In words | twenty-four thousand and thirty-six |
| Binary (base 2) | 101110111100100 |
| Octal (base 8) | 56744 |
| Hexadecimal (base 16) | 5DE4 |
| Base 3 | 1012222020 |
| As time | 24036 seconds = 6 h 40 min 36 s |
Is 24036 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (24036 ÷ 2 = 12018) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (24036 ÷ 3 = 8012) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (24036 ÷ 4 = 6009) | 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 (24036 ÷ 6 = 4006) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (24036 ÷ 12 = 2003) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 24036 a prime number?
No. 24036 = × 3 × 2003, so it is divisible by 2.
What are the factors of 24036?
1, 2, 3, 4, 6, 12, 2003, 4006, 6009, 8012, 12018, 24036.
What is 24036 in binary?
101110111100100 (hexadecimal 5DE4, octal 56744).
What is the square root of 24036?
About 155.0355, exactly 2√6009.
Is 24036 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 24036?
It is a composite number with 12 divisors.