The number 80112
80112 is a composite number with 20 divisors. Its prime factorisation is × 3 × 1669. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1669, 3338, 5007, 6676, 10014, 13352 … 80112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80112: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
80112 is composite. Its prime factorisation is
- 3
The divisors add up to 207080; without 80112 itself that is 126968, so 80112 is abundant (126968 is more than 80112). Euler's totient φ(80112) = 26688 numbers up to 80112 share no factor with it.
- 4
The digits of 80112 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80112 = 2^{4} \times 3 \times 1669 \]80112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 207080 |
| Euler totient φ(n) | 26688 |
| Square | 6417932544 |
| Cube | 514153411964928 |
| Square root | 283.040633 (= 4√5007) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.0112 × |
80112 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and twelve |
| Binary (base 2) | 10011100011110000 |
| Octal (base 8) | 234360 |
| Hexadecimal (base 16) | 138F0 |
| Base 3 | 11001220010 |
| As time | 80112 seconds = 22 h 15 min 12 s |
Is 80112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80112 ÷ 2 = 40056) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80112 ÷ 3 = 26704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80112 ÷ 4 = 20028) | 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 | Yes (80112 ÷ 6 = 13352) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (80112 ÷ 8 = 10014) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80112 ÷ 12 = 6676) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80112 a prime number?
No. 80112 = × 3 × 1669, so it is divisible by 2.
What are the factors of 80112?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1669, 3338, 5007, 6676, 10014, 13352, 20028, 26704, 40056, 80112.
What is 80112 in binary?
10011100011110000 (hexadecimal 138F0, octal 234360).
What is the square root of 80112?
About 283.0406, exactly 4√5007.
Is 80112 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 80112?
80112 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.