The number 7080
7080 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 59. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60 … 7080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7080: a Harshad number: divisible by its digit sum 15.
- 2
7080 is composite. Its prime factorisation is
- 3
The divisors add up to 21600; without 7080 itself that is 14520, so 7080 is abundant (14520 is more than 7080). Euler's totient φ(7080) = 1856 numbers up to 7080 share no factor with it.
- 4
The digits of 7080 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7080 = 2^{3} \times 3 \times 5 \times 59 \]7080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 21600 |
| Euler totient φ(n) | 1856 |
| Square | 50126400 |
| Cube | 354894912000 |
| Square root | 84.142736 (= 2√1770) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 7.08 × |
7080 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and eighty |
| Binary (base 2) | 1101110101000 |
| Octal (base 8) | 15650 |
| Hexadecimal (base 16) | 1BA8 |
| Base 3 | 100201020 |
| As time | 7080 seconds = 1 h 58 min 0 s |
Is 7080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7080 ÷ 2 = 3540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (7080 ÷ 3 = 2360) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (7080 ÷ 4 = 1770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7080 ÷ 5 = 1416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (7080 ÷ 6 = 1180) | 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 | Yes (7080 ÷ 8 = 885) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7080 ÷ 10 = 708) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (7080 ÷ 12 = 590) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7080 a prime number?
No. 7080 = × 3 × 5 × 59, so it is divisible by 2.
What are the factors of 7080?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 59, 60, 118, 120, 177, 236, 295, 354, 472, 590, 708, 885, 1180, 1416, 1770, 2360, 3540, 7080.
What is 7080 in binary?
1101110101000 (hexadecimal 1BA8, octal 15650).
What is the square root of 7080?
About 84.1427, exactly 2√1770.
Is 7080 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 7080?
7080 is a Harshad number: divisible by its digit sum 15.