The number 9020
9020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 41. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220 … 9020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9020: a Harshad number: divisible by its digit sum 11.
- 2
9020 is composite. Its prime factorisation is
- 3
The divisors add up to 21168; without 9020 itself that is 12148, so 9020 is abundant (12148 is more than 9020). Euler's totient φ(9020) = 3200 numbers up to 9020 share no factor with it.
- 4
The digits of 9020 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9020 = 2^{2} \times 5 \times 11 \times 41 \]9020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 21168 |
| Euler totient φ(n) | 3200 |
| Square | 81360400 |
| Cube | 733870808000 |
| Square root | 94.973681 (= 2√2255) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 9.02 × |
9020 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and twenty |
| Binary (base 2) | 10001100111100 |
| Octal (base 8) | 21474 |
| Hexadecimal (base 16) | 233C |
| Base 3 | 110101002 |
| As time | 9020 seconds = 2 h 30 min 20 s |
Is 9020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9020 ÷ 2 = 4510) | 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 (9020 ÷ 4 = 2255) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (9020 ÷ 5 = 1804) | 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 4) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (9020 ÷ 10 = 902) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (9020 ÷ 11 = 820) | 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 9020 a prime number?
No. 9020 = × 5 × 11 × 41, so it is divisible by 2.
What are the factors of 9020?
1, 2, 4, 5, 10, 11, 20, 22, 41, 44, 55, 82, 110, 164, 205, 220, 410, 451, 820, 902, 1804, 2255, 4510, 9020.
What is 9020 in binary?
10001100111100 (hexadecimal 233C, octal 21474).
What is the square root of 9020?
About 94.9737, exactly 2√2255.
Is 9020 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 9020?
9020 is a Harshad number: divisible by its digit sum 11.