The number 80311
80311 is a composite number with 12 divisors. Its prime factorisation is × 11 × 149. Divisors (12): 1, 7, 11, 49, 77, 149, 539, 1043, 1639, 7301, 11473, 80311.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80311 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80311 is composite. Its prime factorisation is
- 3
The divisors add up to 102600; without 80311 itself that is 22289, so 80311 is deficient (22289 is less than 80311). Euler's totient φ(80311) = 62160 numbers up to 80311 share no factor with it.
- 4
The digits of 80311 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80311 = 7^{2} \times 11 \times 149 \]80311 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 102600 |
| Euler totient φ(n) | 62160 |
| Square | 6449856721 |
| Cube | 517994443120231 |
| Square root | 283.391955 (= 7√1639) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0311 × |
80311 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and eleven |
| Binary (base 2) | 10011100110110111 |
| Octal (base 8) | 234667 |
| Hexadecimal (base 16) | 139B7 |
| Base 3 | 11002011111 |
| As time | 80311 seconds = 22 h 18 min 31 s |
Is 80311 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (80311 ÷ 7 = 11473) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (80311 ÷ 11 = 7301) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80311 a prime number?
No. 80311 = × 11 × 149, so it is divisible by 7.
What are the factors of 80311?
1, 7, 11, 49, 77, 149, 539, 1043, 1639, 7301, 11473, 80311.
What is 80311 in binary?
10011100110110111 (hexadecimal 139B7, octal 234667).
What is the square root of 80311?
About 283.3920, exactly 7√1639.
Is 80311 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80311?
It is a composite number with 12 divisors.