The number 40024
40024 is a composite number with 8 divisors. Its prime factorisation is × 5003. Divisors (8): 1, 2, 4, 8, 5003, 10006, 20012, 40024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40024 is composite. Its prime factorisation is
- 3
The divisors add up to 75060; without 40024 itself that is 35036, so 40024 is deficient (35036 is less than 40024). Euler's totient φ(40024) = 20008 numbers up to 40024 share no factor with it.
- 4
The digits of 40024 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40024 = 2^{3} \times 5003 \]40024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75060 |
| Euler totient φ(n) | 20008 |
| Square | 1601920576 |
| Cube | 64115269133824 |
| Square root | 200.059991 (= 2√10006) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 181 |
| Scientific notation | 4.0024 × |
40024 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and twenty-four |
| Binary (base 2) | 1001110001011000 |
| Octal (base 8) | 116130 |
| Hexadecimal (base 16) | 9C58 |
| Base 3 | 2000220101 |
| As time | 40024 seconds = 11 h 7 min 4 s |
Is 40024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40024 ÷ 2 = 20012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40024 ÷ 4 = 10006) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (40024 ÷ 8 = 5003) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40024 a prime number?
No. 40024 = × 5003, so it is divisible by 2.
What are the factors of 40024?
1, 2, 4, 8, 5003, 10006, 20012, 40024.
What is 40024 in binary?
1001110001011000 (hexadecimal 9C58, octal 116130).
What is the square root of 40024?
About 200.0600, exactly 2√10006.
Is 40024 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40024?
It is a composite number with 8 divisors.