The number 7020
7020 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 13. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30 … 7020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7020: a Harshad number: divisible by its digit sum 9.
- 2
7020 is composite. Its prime factorisation is
- 3
The divisors add up to 23520; without 7020 itself that is 16500, so 7020 is abundant (16500 is more than 7020). Euler's totient φ(7020) = 1728 numbers up to 7020 share no factor with it.
- 4
The digits of 7020 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7020 = 2^{2} \times 3^{3} \times 5 \times 13 \]7020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 23520 |
| Euler totient φ(n) | 1728 |
| Square | 49280400 |
| Cube | 345948408000 |
| Square root | 83.785440 (= 6√195) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 7.02 × |
7020 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and twenty |
| Binary (base 2) | 1101101101100 |
| Octal (base 8) | 15554 |
| Hexadecimal (base 16) | 1B6C |
| Base 3 | 100122000 |
| As time | 7020 seconds = 1 h 57 min 0 s |
Is 7020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7020 ÷ 2 = 3510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7020 ÷ 3 = 2340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7020 ÷ 4 = 1755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7020 ÷ 5 = 1404) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7020 ÷ 6 = 1170) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (7020 ÷ 9 = 780) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7020 ÷ 10 = 702) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7020 ÷ 12 = 585) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7020 a prime number?
No. 7020 = × × 5 × 13, so it is divisible by 2.
What are the factors of 7020?
1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020.
What is 7020 in binary?
1101101101100 (hexadecimal 1B6C, octal 15554).
What is the square root of 7020?
About 83.7854, exactly 6√195.
Is 7020 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 7020?
7020 is a Harshad number: divisible by its digit sum 9.