The number 67347
67347 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1069. Divisors (12): 1, 3, 7, 9, 21, 63, 1069, 3207, 7483, 9621, 22449, 67347.
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How to work it out
- 1
67347 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67347 is composite. Its prime factorisation is
- 3
The divisors add up to 111280; without 67347 itself that is 43933, so 67347 is deficient (43933 is less than 67347). Euler's totient φ(67347) = 38448 numbers up to 67347 share no factor with it.
- 4
The digits of 67347 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67347 = 3^{2} \times 7 \times 1069 \]67347 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 111280 |
| Euler totient φ(n) | 38448 |
| Square | 4535618409 |
| Cube | 305460292990923 |
| Square root | 259.513005 (= 3√7483) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 99 |
| Scientific notation | 6.7347 × |
67347 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and forty-seven |
| Binary (base 2) | 10000011100010011 |
| Octal (base 8) | 203423 |
| Hexadecimal (base 16) | 10713 |
| Base 3 | 10102101100 |
| As time | 67347 seconds = 18 h 42 min 27 s |
Is 67347 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67347 ÷ 3 = 22449) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (67347 ÷ 7 = 9621) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67347 ÷ 9 = 7483) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67347 a prime number?
No. 67347 = × 7 × 1069, so it is divisible by 3.
What are the factors of 67347?
1, 3, 7, 9, 21, 63, 1069, 3207, 7483, 9621, 22449, 67347.
What is 67347 in binary?
10000011100010011 (hexadecimal 10713, octal 203423).
What is the square root of 67347?
About 259.5130, exactly 3√7483.
Is 67347 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67347?
It is a composite number with 12 divisors.