The number 80764
80764 is a composite number with 12 divisors. Its prime factorisation is × 61 × 331. Divisors (12): 1, 2, 4, 61, 122, 244, 331, 662, 1324, 20191, 40382, 80764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80764 is composite. Its prime factorisation is
- 3
The divisors add up to 144088; without 80764 itself that is 63324, so 80764 is deficient (63324 is less than 80764). Euler's totient φ(80764) = 39600 numbers up to 80764 share no factor with it.
- 4
The digits of 80764 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80764 = 2^{2} \times 61 \times 331 \]80764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 144088 |
| Euler totient φ(n) | 39600 |
| Square | 6522823696 |
| Cube | 526809332983744 |
| Square root | 284.190077 (= 2√20191) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.0764 × |
80764 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and sixty-four |
| Binary (base 2) | 10011101101111100 |
| Octal (base 8) | 235574 |
| Hexadecimal (base 16) | 13B7C |
| Base 3 | 11002210021 |
| As time | 80764 seconds = 22 h 26 min 4 s |
Is 80764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80764 ÷ 2 = 40382) | 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 (80764 ÷ 4 = 20191) | 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 | 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 7) | 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 | No (remainder 2) | 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 80764 a prime number?
No. 80764 = × 61 × 331, so it is divisible by 2.
What are the factors of 80764?
1, 2, 4, 61, 122, 244, 331, 662, 1324, 20191, 40382, 80764.
What is 80764 in binary?
10011101101111100 (hexadecimal 13B7C, octal 235574).
What is the square root of 80764?
About 284.1901, exactly 2√20191.
Is 80764 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 80764?
It is a composite number with 12 divisors.