The number 80316
80316 is a composite number with 36 divisors. Its prime factorisation is × × 23 × 97. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 97, 138, 194 … 80316.
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How to work it out
- 1
What is special about 80316: a Harshad number: divisible by its digit sum 18.
- 2
80316 is composite. Its prime factorisation is
- 3
The divisors add up to 214032; without 80316 itself that is 133716, so 80316 is abundant (133716 is more than 80316). Euler's totient φ(80316) = 25344 numbers up to 80316 share no factor with it.
- 4
The digits of 80316 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80316 = 2^{2} \times 3^{2} \times 23 \times 97 \]80316 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 214032 |
| Euler totient φ(n) | 25344 |
| Square | 6450659856 |
| Cube | 518091196994496 |
| Square root | 283.400776 (= 6√2231) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0316 × |
80316 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand three hundred and sixteen |
| Binary (base 2) | 10011100110111100 |
| Octal (base 8) | 234674 |
| Hexadecimal (base 16) | 139BC |
| Base 3 | 11002011200 |
| As time | 80316 seconds = 22 h 18 min 36 s |
Is 80316 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80316 ÷ 2 = 40158) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80316 ÷ 3 = 26772) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80316 ÷ 4 = 20079) | 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 (80316 ÷ 6 = 13386) | 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 | Yes (80316 ÷ 9 = 8924) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80316 ÷ 12 = 6693) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80316 a prime number?
No. 80316 = × × 23 × 97, so it is divisible by 2.
What are the factors of 80316?
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 97, 138, 194, 207, 276, 291, 388, 414, 582, 828, 873, 1164, 1746, 2231, 3492, 4462, 6693, 8924, 13386, 20079, 26772, 40158, 80316.
What is 80316 in binary?
10011100110111100 (hexadecimal 139BC, octal 234674).
What is the square root of 80316?
About 283.4008, exactly 6√2231.
Is 80316 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 80316?
80316 is a Harshad number: divisible by its digit sum 18.