The number 67112
67112 is a composite number with 8 divisors. Its prime factorisation is × 8389. Divisors (8): 1, 2, 4, 8, 8389, 16778, 33556, 67112.
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How to work it out
- 1
What is special about 67112: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67112 is composite. Its prime factorisation is
- 3
The divisors add up to 125850; without 67112 itself that is 58738, so 67112 is deficient (58738 is less than 67112). Euler's totient φ(67112) = 33552 numbers up to 67112 share no factor with it.
- 4
The digits of 67112 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67112 = 2^{3} \times 8389 \]67112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 125850 |
| Euler totient φ(n) | 33552 |
| Square | 4504020544 |
| Cube | 302273826748928 |
| Square root | 259.059839 (= 2√16778) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7112 × |
67112 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and twelve |
| Binary (base 2) | 10000011000101000 |
| Octal (base 8) | 203050 |
| Hexadecimal (base 16) | 10628 |
| Base 3 | 10102001122 |
| As time | 67112 seconds = 18 h 38 min 32 s |
Is 67112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67112 ÷ 2 = 33556) | 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 (67112 ÷ 4 = 16778) | 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 3) | 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 (67112 ÷ 8 = 8389) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 67112 a prime number?
No. 67112 = × 8389, so it is divisible by 2.
What are the factors of 67112?
1, 2, 4, 8, 8389, 16778, 33556, 67112.
What is 67112 in binary?
10000011000101000 (hexadecimal 10628, octal 203050).
What is the square root of 67112?
About 259.0598, exactly 2√16778.
Is 67112 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67112?
67112 is a happy number: repeatedly adding the squares of its digits reaches 1.