The number 80788
80788 is a composite number with 12 divisors. Its prime factorisation is × 19 × 1063. Divisors (12): 1, 2, 4, 19, 38, 76, 1063, 2126, 4252, 20197, 40394, 80788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80788 is composite. Its prime factorisation is
- 3
The divisors add up to 148960; without 80788 itself that is 68172, so 80788 is deficient (68172 is less than 80788). Euler's totient φ(80788) = 38232 numbers up to 80788 share no factor with it.
- 4
The digits of 80788 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80788 = 2^{2} \times 19 \times 1063 \]80788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 148960 |
| Euler totient φ(n) | 38232 |
| Square | 6526700944 |
| Cube | 527279115863872 |
| Square root | 284.232299 (= 2√20197) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 89 |
| Scientific notation | 8.0788 × |
80788 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and eighty-eight |
| Binary (base 2) | 10011101110010100 |
| Octal (base 8) | 235624 |
| Hexadecimal (base 16) | 13B94 |
| Base 3 | 11002211011 |
| As time | 80788 seconds = 22 h 26 min 28 s |
Is 80788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80788 ÷ 2 = 40394) | 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 (80788 ÷ 4 = 20197) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 80788 a prime number?
No. 80788 = × 19 × 1063, so it is divisible by 2.
What are the factors of 80788?
1, 2, 4, 19, 38, 76, 1063, 2126, 4252, 20197, 40394, 80788.
What is 80788 in binary?
10011101110010100 (hexadecimal 13B94, octal 235624).
What is the square root of 80788?
About 284.2323, exactly 2√20197.
Is 80788 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 80788?
It is a composite number with 12 divisors.