The number 67312
67312 is a composite number with 20 divisors. Its prime factorisation is × 7 × 601. Divisors (20): 1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 601, 1202, 2404, 4207, 4808, 8414 … 67312.
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How to work it out
- 1
67312 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67312 is composite. Its prime factorisation is
- 3
The divisors add up to 149296; without 67312 itself that is 81984, so 67312 is abundant (81984 is more than 67312). Euler's totient φ(67312) = 28800 numbers up to 67312 share no factor with it.
- 4
The digits of 67312 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67312 = 2^{4} \times 7 \times 601 \]67312 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 149296 |
| Euler totient φ(n) | 28800 |
| Square | 4530905344 |
| Cube | 304984300515328 |
| Square root | 259.445563 (= 4√4207) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.7312 × |
67312 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and twelve |
| Binary (base 2) | 10000011011110000 |
| Octal (base 8) | 203360 |
| Hexadecimal (base 16) | 106F0 |
| Base 3 | 10102100001 |
| As time | 67312 seconds = 18 h 41 min 52 s |
Is 67312 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67312 ÷ 2 = 33656) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67312 ÷ 4 = 16828) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67312 ÷ 7 = 9616) | 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 (67312 ÷ 8 = 8414) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67312 a prime number?
No. 67312 = × 7 × 601, so it is divisible by 2.
What are the factors of 67312?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 601, 1202, 2404, 4207, 4808, 8414, 9616, 16828, 33656, 67312.
What is 67312 in binary?
10000011011110000 (hexadecimal 106F0, octal 203360).
What is the square root of 67312?
About 259.4456, exactly 4√4207.
Is 67312 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67312?
It is a composite number with 20 divisors.