The number 80320
80320 is a composite number with 28 divisors. Its prime factorisation is × 5 × 251. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 251, 320, 502 … 80320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80320 is composite. Its prime factorisation is
- 3
The divisors add up to 192024; without 80320 itself that is 111704, so 80320 is abundant (111704 is more than 80320). Euler's totient φ(80320) = 32000 numbers up to 80320 share no factor with it.
- 4
The digits of 80320 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 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80320 = 2^{6} \times 5 \times 251 \]80320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 192024 |
| Euler totient φ(n) | 32000 |
| Square | 6451302400 |
| Cube | 518168608768000 |
| Square root | 283.407833 (= 8√1255) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.032 × |
80320 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and twenty |
| Binary (base 2) | 10011100111000000 |
| Octal (base 8) | 234700 |
| Hexadecimal (base 16) | 139C0 |
| Base 3 | 11002011211 |
| As time | 80320 seconds = 22 h 18 min 40 s |
Is 80320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80320 ÷ 2 = 40160) | 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 (80320 ÷ 4 = 20080) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80320 ÷ 5 = 16064) | 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 2) | 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 | Yes (80320 ÷ 8 = 10040) | 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 | Yes (80320 ÷ 10 = 8032) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 80320 a prime number?
No. 80320 = × 5 × 251, so it is divisible by 2.
What are the factors of 80320?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 251, 320, 502, 1004, 1255, 2008, 2510, 4016, 5020, 8032, 10040, 16064, 20080, 40160, 80320.
What is 80320 in binary?
10011100111000000 (hexadecimal 139C0, octal 234700).
What is the square root of 80320?
About 283.4078, exactly 8√1255.
Is 80320 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 80320?
It is a composite number with 28 divisors.