The number 7040
7040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80 … 7040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7040: a Harshad number: divisible by its digit sum 11.
- 2
7040 is composite. Its prime factorisation is
- 3
The divisors add up to 18360; without 7040 itself that is 11320, so 7040 is abundant (11320 is more than 7040). Euler's totient φ(7040) = 2560 numbers up to 7040 share no factor with it.
- 4
The digits of 7040 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 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7040 = 2^{7} \times 5 \times 11 \]7040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 18360 |
| Euler totient φ(n) | 2560 |
| Square | 49561600 |
| Cube | 348913664000 |
| Square root | 83.904708 (= 8√110) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 119 |
| Scientific notation | 7.04 × |
7040 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and forty |
| Binary (base 2) | 1101110000000 |
| Octal (base 8) | 15600 |
| Hexadecimal (base 16) | 1B80 |
| Base 3 | 100122202 |
| As time | 7040 seconds = 1 h 57 min 20 s |
Is 7040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7040 ÷ 2 = 3520) | 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 (7040 ÷ 4 = 1760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (7040 ÷ 5 = 1408) | 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 5) | 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 (7040 ÷ 8 = 880) | 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 (7040 ÷ 10 = 704) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7040 ÷ 11 = 640) | 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 7040 a prime number?
No. 7040 = × 5 × 11, so it is divisible by 2.
What are the factors of 7040?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 55, 64, 80, 88, 110, 128, 160, 176, 220, 320, 352, 440, 640, 704, 880, 1408, 1760, 3520, 7040.
What is 7040 in binary?
1101110000000 (hexadecimal 1B80, octal 15600).
What is the square root of 7040?
About 83.9047, exactly 8√110.
Is 7040 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 7040?
7040 is a Harshad number: divisible by its digit sum 11.