The number 8112
8112 is a composite number with 30 divisors. Its prime factorisation is × 3 × . Divisors (30): 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104 … 8112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8112: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.
- 2
8112 is composite. Its prime factorisation is
- 3
The divisors add up to 22692; without 8112 itself that is 14580, so 8112 is abundant (14580 is more than 8112). Euler's totient φ(8112) = 2496 numbers up to 8112 share no factor with it.
- 4
The digits of 8112 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8112 = 2^{4} \times 3 \times 13^{2} \]8112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 22692 |
| Euler totient φ(n) | 2496 |
| Square | 65804544 |
| Cube | 533806460928 |
| Square root | 90.066642 (= 52√3) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.112 × |
8112 in other forms
| Form | Value |
|---|---|
| In words | eight thousand one hundred and twelve |
| Binary (base 2) | 1111110110000 |
| Octal (base 8) | 17660 |
| Hexadecimal (base 16) | 1FB0 |
| Base 3 | 102010110 |
| As time | 8112 seconds = 2 h 15 min 12 s |
Is 8112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8112 ÷ 2 = 4056) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (8112 ÷ 3 = 2704) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8112 ÷ 4 = 2028) | 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 (8112 ÷ 6 = 1352) | 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 (8112 ÷ 8 = 1014) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (8112 ÷ 12 = 676) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8112 a prime number?
No. 8112 = × 3 × , so it is divisible by 2.
What are the factors of 8112?
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 169, 208, 312, 338, 507, 624, 676, 1014, 1352, 2028, 2704, 4056, 8112.
What is 8112 in binary?
1111110110000 (hexadecimal 1FB0, octal 17660).
What is the square root of 8112?
About 90.0666, exactly 52√3.
Is 8112 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 8112?
8112 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 12.