The number 80017
80017 is a composite number with 12 divisors. Its prime factorisation is × 23 × 71. Divisors (12): 1, 7, 23, 49, 71, 161, 497, 1127, 1633, 3479, 11431, 80017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80017 is composite. Its prime factorisation is
- 3
The divisors add up to 98496; without 80017 itself that is 18479, so 80017 is deficient (18479 is less than 80017). Euler's totient φ(80017) = 64680 numbers up to 80017 share no factor with it.
- 4
The digits of 80017 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80017 = 7^{2} \times 23 \times 71 \]80017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98496 |
| Euler totient φ(n) | 64680 |
| Square | 6402720289 |
| Cube | 512326469364913 |
| Square root | 282.872763 (= 7√1633) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.0017 × |
80017 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and seventeen |
| Binary (base 2) | 10011100010010001 |
| Octal (base 8) | 234221 |
| Hexadecimal (base 16) | 13891 |
| Base 3 | 11001202121 |
| As time | 80017 seconds = 22 h 13 min 37 s |
Is 80017 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 (80017 ÷ 7 = 11431) | 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 1) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80017 a prime number?
No. 80017 = × 23 × 71, so it is divisible by 7.
What are the factors of 80017?
1, 7, 23, 49, 71, 161, 497, 1127, 1633, 3479, 11431, 80017.
What is 80017 in binary?
10011100010010001 (hexadecimal 13891, octal 234221).
What is the square root of 80017?
About 282.8728, exactly 7√1633.
Is 80017 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 80017?
It is a composite number with 12 divisors.