The number 5022
5022 is a composite number with 20 divisors. Its prime factorisation is 2 × × 31. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558 … 5022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5022: a Harshad number: divisible by its digit sum 9.
- 2
5022 is composite. Its prime factorisation is
- 3
The divisors add up to 11616; without 5022 itself that is 6594, so 5022 is abundant (6594 is more than 5022). Euler's totient φ(5022) = 1620 numbers up to 5022 share no factor with it.
- 4
The digits of 5022 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 90 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5022 = 2 \times 3^{4} \times 31 \]5022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 11616 |
| Euler totient φ(n) | 1620 |
| Square | 25220484 |
| Cube | 126657270648 |
| Square root | 70.866071 (= 9√62) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 90 |
| Scientific notation | 5.022 × |
5022 in other forms
| Form | Value |
|---|---|
| In words | five thousand and twenty-two |
| Binary (base 2) | 1001110011110 |
| Octal (base 8) | 11636 |
| Hexadecimal (base 16) | 139E |
| Base 3 | 20220000 |
| As time | 5022 seconds = 1 h 23 min 42 s |
Is 5022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5022 ÷ 2 = 2511) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5022 ÷ 3 = 1674) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5022 ÷ 6 = 837) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5022 ÷ 9 = 558) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5022 a prime number?
No. 5022 = 2 × × 31, so it is divisible by 2.
What are the factors of 5022?
1, 2, 3, 6, 9, 18, 27, 31, 54, 62, 81, 93, 162, 186, 279, 558, 837, 1674, 2511, 5022.
What is 5022 in binary?
1001110011110 (hexadecimal 139E, octal 11636).
What is the square root of 5022?
About 70.8661, exactly 9√62.
Is 5022 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 5022?
5022 is a Harshad number: divisible by its digit sum 9.