The number 5024
5024 is a composite number with 12 divisors. Its prime factorisation is × 157. Divisors (12): 1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5024 is composite. Its prime factorisation is
- 3
The divisors add up to 9954; without 5024 itself that is 4930, so 5024 is deficient (4930 is less than 5024). Euler's totient φ(5024) = 2496 numbers up to 5024 share no factor with it.
- 4
The digits of 5024 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5024 = 2^{5} \times 157 \]5024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9954 |
| Euler totient φ(n) | 2496 |
| Square | 25240576 |
| Cube | 126808653824 |
| Square root | 70.880181 (= 4√314) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.024 × |
5024 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twenty-four |
| Binary (base 2) | 1001110100000 |
| Octal (base 8) | 11640 |
| Hexadecimal (base 16) | 13A0 |
| Base 3 | 20220002 |
| As time | 5024 seconds = 1 h 23 min 44 s |
Is 5024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5024 ÷ 2 = 2512) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5024 ÷ 4 = 1256) | 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 2) | 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 (5024 ÷ 8 = 628) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5024 a prime number?
No. 5024 = × 157, so it is divisible by 2.
What are the factors of 5024?
1, 2, 4, 8, 16, 32, 157, 314, 628, 1256, 2512, 5024.
What is 5024 in binary?
1001110100000 (hexadecimal 13A0, octal 11640).
What is the square root of 5024?
About 70.8802, exactly 4√314.
Is 5024 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5024?
It is a composite number with 12 divisors.