The number 80076
80076 is a composite number with 12 divisors. Its prime factorisation is × 3 × 6673. Divisors (12): 1, 2, 3, 4, 6, 12, 6673, 13346, 20019, 26692, 40038, 80076.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80076 is composite. Its prime factorisation is
- 3
The divisors add up to 186872; without 80076 itself that is 106796, so 80076 is abundant (106796 is more than 80076). Euler's totient φ(80076) = 26688 numbers up to 80076 share no factor with it.
- 4
The digits of 80076 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 169 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80076 = 2^{2} \times 3 \times 6673 \]80076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 186872 |
| Euler totient φ(n) | 26688 |
| Square | 6412165776 |
| Cube | 513460586678976 |
| Square root | 282.977031 (= 2√20019) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0076 × |
80076 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and seventy-six |
| Binary (base 2) | 10011100011001100 |
| Octal (base 8) | 234314 |
| Hexadecimal (base 16) | 138CC |
| Base 3 | 11001211210 |
| As time | 80076 seconds = 22 h 14 min 36 s |
Is 80076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80076 ÷ 2 = 40038) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80076 ÷ 3 = 26692) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80076 ÷ 4 = 20019) | 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 (80076 ÷ 6 = 13346) | 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 | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80076 ÷ 12 = 6673) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80076 a prime number?
No. 80076 = × 3 × 6673, so it is divisible by 2.
What are the factors of 80076?
1, 2, 3, 4, 6, 12, 6673, 13346, 20019, 26692, 40038, 80076.
What is 80076 in binary?
10011100011001100 (hexadecimal 138CC, octal 234314).
What is the square root of 80076?
About 282.9770, exactly 2√20019.
Is 80076 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 80076?
It is a composite number with 12 divisors.