The number 5020
5020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 251. Divisors (12): 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5020 is composite. Its prime factorisation is
- 3
The divisors add up to 10584; without 5020 itself that is 5564, so 5020 is abundant (5564 is more than 5020). Euler's totient φ(5020) = 2000 numbers up to 5020 share no factor with it.
- 4
The digits of 5020 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5020 = 2^{2} \times 5 \times 251 \]5020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 10584 |
| Euler totient φ(n) | 2000 |
| Square | 25200400 |
| Cube | 126506008000 |
| Square root | 70.851958 (= 2√1255) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 90 |
| Scientific notation | 5.02 × |
5020 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twenty |
| Binary (base 2) | 1001110011100 |
| Octal (base 8) | 11634 |
| Hexadecimal (base 16) | 139C |
| Base 3 | 20212221 |
| As time | 5020 seconds = 1 h 23 min 40 s |
Is 5020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5020 ÷ 2 = 2510) | 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 (5020 ÷ 4 = 1255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5020 ÷ 5 = 1004) | 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5020 ÷ 10 = 502) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 5020 a prime number?
No. 5020 = × 5 × 251, so it is divisible by 2.
What are the factors of 5020?
1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020.
What is 5020 in binary?
1001110011100 (hexadecimal 139C, octal 11634).
What is the square root of 5020?
About 70.8520, exactly 2√1255.
Is 5020 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 5020?
It is a composite number with 12 divisors.