The number 8076
8076 is a composite number with 12 divisors. Its prime factorisation is × 3 × 673. Divisors (12): 1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8076 is composite. Its prime factorisation is
- 3
The divisors add up to 18872; without 8076 itself that is 10796, so 8076 is abundant (10796 is more than 8076). Euler's totient φ(8076) = 2688 numbers up to 8076 share no factor with it.
- 4
The digits of 8076 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8076 = 2^{2} \times 3 \times 673 \]8076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 18872 |
| Euler totient φ(n) | 2688 |
| Square | 65221776 |
| Cube | 526731062976 |
| Square root | 89.866568 (= 2√2019) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 8.076 × |
8076 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and seventy-six |
| Binary (base 2) | 1111110001100 |
| Octal (base 8) | 17614 |
| Hexadecimal (base 16) | 1F8C |
| Base 3 | 102002010 |
| As time | 8076 seconds = 2 h 14 min 36 s |
Is 8076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8076 ÷ 2 = 4038) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8076 ÷ 3 = 2692) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8076 ÷ 4 = 2019) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (8076 ÷ 6 = 1346) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 (8076 ÷ 12 = 673) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8076 a prime number?
No. 8076 = × 3 × 673, so it is divisible by 2.
What are the factors of 8076?
1, 2, 3, 4, 6, 12, 673, 1346, 2019, 2692, 4038, 8076.
What is 8076 in binary?
1111110001100 (hexadecimal 1F8C, octal 17614).
What is the square root of 8076?
About 89.8666, exactly 2√2019.
Is 8076 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 8076?
It is a composite number with 12 divisors.