The number 80012
80012 is a composite number with 12 divisors. Its prime factorisation is × 83 × 241. Divisors (12): 1, 2, 4, 83, 166, 241, 332, 482, 964, 20003, 40006, 80012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80012 is composite. Its prime factorisation is
- 3
The divisors add up to 142296; without 80012 itself that is 62284, so 80012 is deficient (62284 is less than 80012). Euler's totient φ(80012) = 39360 numbers up to 80012 share no factor with it.
- 4
The digits of 80012 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80012 = 2^{2} \times 83 \times 241 \]80012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142296 |
| Euler totient φ(n) | 39360 |
| Square | 6401920144 |
| Cube | 512230434561728 |
| Square root | 282.863925 (= 2√20003) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0012 × |
80012 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and twelve |
| Binary (base 2) | 10011100010001100 |
| Octal (base 8) | 234214 |
| Hexadecimal (base 16) | 1388C |
| Base 3 | 11001202102 |
| As time | 80012 seconds = 22 h 13 min 32 s |
Is 80012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80012 ÷ 2 = 40006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80012 ÷ 4 = 20003) | 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 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80012 a prime number?
No. 80012 = × 83 × 241, so it is divisible by 2.
What are the factors of 80012?
1, 2, 4, 83, 166, 241, 332, 482, 964, 20003, 40006, 80012.
What is 80012 in binary?
10011100010001100 (hexadecimal 1388C, octal 234214).
What is the square root of 80012?
About 282.8639, exactly 2√20003.
Is 80012 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 80012?
It is a composite number with 12 divisors.