The number 7090
7090 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 709. Divisors (8): 1, 2, 5, 10, 709, 1418, 3545, 7090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7090: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7090 is composite. Its prime factorisation is
- 3
The divisors add up to 12780; without 7090 itself that is 5690, so 7090 is deficient (5690 is less than 7090). Euler's totient φ(7090) = 2832 numbers up to 7090 share no factor with it.
- 4
The digits of 7090 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7090 = 2 \times 5 \times 709 \]
7090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12780 |
| Euler totient φ(n) | 2832 |
| Square | 50268100 |
| Cube | 356400829000 |
| Square root | 84.202138 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.09 × |
7090 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and ninety |
| Binary (base 2) | 1101110110010 |
| Octal (base 8) | 15662 |
| Hexadecimal (base 16) | 1BB2 |
| Base 3 | 100201121 |
| As time | 7090 seconds = 1 h 58 min 10 s |
Is 7090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7090 ÷ 2 = 3545) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 | Yes (7090 ÷ 5 = 1418) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (7090 ÷ 10 = 709) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7090 a prime number?
No. 7090 = 2 × 5 × 709, so it is divisible by 2.
What are the factors of 7090?
1, 2, 5, 10, 709, 1418, 3545, 7090.
What is 7090 in binary?
1101110110010 (hexadecimal 1BB2, octal 15662).
What is the square root of 7090?
About 84.2021.
Is 7090 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 7090?
7090 is a happy number: repeatedly adding the squares of its digits reaches 1.