The number 80016
80016 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1667. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1667, 3334, 5001, 6668, 10002, 13336 … 80016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80016 is composite. Its prime factorisation is
- 3
The divisors add up to 206832; without 80016 itself that is 126816, so 80016 is abundant (126816 is more than 80016). Euler's totient φ(80016) = 26656 numbers up to 80016 share no factor with it.
- 4
The digits of 80016 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80016 = 2^{4} \times 3 \times 1667 \]80016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 206832 |
| Euler totient φ(n) | 26656 |
| Square | 6402560256 |
| Cube | 512307261444096 |
| Square root | 282.870995 (= 4√5001) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0016 × |
80016 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and sixteen |
| Binary (base 2) | 10011100010010000 |
| Octal (base 8) | 234220 |
| Hexadecimal (base 16) | 13890 |
| Base 3 | 11001202120 |
| As time | 80016 seconds = 22 h 13 min 36 s |
Is 80016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80016 ÷ 2 = 40008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80016 ÷ 3 = 26672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80016 ÷ 4 = 20004) | 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 (80016 ÷ 6 = 13336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (80016 ÷ 8 = 10002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80016 ÷ 12 = 6668) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80016 a prime number?
No. 80016 = × 3 × 1667, so it is divisible by 2.
What are the factors of 80016?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1667, 3334, 5001, 6668, 10002, 13336, 20004, 26672, 40008, 80016.
What is 80016 in binary?
10011100010010000 (hexadecimal 13890, octal 234220).
What is the square root of 80016?
About 282.8710, exactly 4√5001.
Is 80016 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80016?
It is a composite number with 20 divisors.