The number 7084
7084 is a composite number with 24 divisors. Its prime factorisation is × 7 × 11 × 23. Divisors (24): 1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253 … 7084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7084: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
7084 is composite. Its prime factorisation is
- 3
The divisors add up to 16128; without 7084 itself that is 9044, so 7084 is abundant (9044 is more than 7084). Euler's totient φ(7084) = 2640 numbers up to 7084 share no factor with it.
- 4
The digits of 7084 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7084 = 2^{2} \times 7 \times 11 \times 23 \]7084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16128 |
| Euler totient φ(n) | 2640 |
| Square | 50183056 |
| Cube | 355496768704 |
| Square root | 84.166502 (= 2√1771) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.084 × |
7084 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and eighty-four |
| Binary (base 2) | 1101110101100 |
| Octal (base 8) | 15654 |
| Hexadecimal (base 16) | 1BAC |
| Base 3 | 100201101 |
| As time | 7084 seconds = 1 h 58 min 4 s |
Is 7084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7084 ÷ 2 = 3542) | 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 | Yes (7084 ÷ 4 = 1771) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (7084 ÷ 7 = 1012) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (7084 ÷ 11 = 644) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 7084 a prime number?
No. 7084 = × 7 × 11 × 23, so it is divisible by 2.
What are the factors of 7084?
1, 2, 4, 7, 11, 14, 22, 23, 28, 44, 46, 77, 92, 154, 161, 253, 308, 322, 506, 644, 1012, 1771, 3542, 7084.
What is 7084 in binary?
1101110101100 (hexadecimal 1BAC, octal 15654).
What is the square root of 7084?
About 84.1665, exactly 2√1771.
Is 7084 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 7084?
7084 is a happy number: repeatedly adding the squares of its digits reaches 1.