The number 4024
4024 is a composite number with 8 divisors. Its prime factorisation is × 503. Divisors (8): 1, 2, 4, 8, 503, 1006, 2012, 4024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4024 is composite. Its prime factorisation is
- 3
The divisors add up to 7560; without 4024 itself that is 3536, so 4024 is deficient (3536 is less than 4024). Euler's totient φ(4024) = 2008 numbers up to 4024 share no factor with it.
- 4
The digits of 4024 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 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4024 = 2^{3} \times 503 \]4024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7560 |
| Euler totient φ(n) | 2008 |
| Square | 16192576 |
| Cube | 65158925824 |
| Square root | 63.435006 (= 2√1006) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 69 |
| Scientific notation | 4.024 × |
4024 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twenty-four |
| Binary (base 2) | 111110111000 |
| Octal (base 8) | 7670 |
| Hexadecimal (base 16) | FB8 |
| Base 3 | 12112001 |
| As time | 4024 seconds = 1 h 7 min 4 s |
Is 4024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4024 ÷ 2 = 2012) | 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 (4024 ÷ 4 = 1006) | 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 6) | 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 (4024 ÷ 8 = 503) | 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 9) | 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 4024 a prime number?
No. 4024 = × 503, so it is divisible by 2.
What are the factors of 4024?
1, 2, 4, 8, 503, 1006, 2012, 4024.
What is 4024 in binary?
111110111000 (hexadecimal FB8, octal 7670).
What is the square root of 4024?
About 63.4350, exactly 2√1006.
Is 4024 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 4024?
It is a composite number with 8 divisors.