The number 67730
67730 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 521. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 521, 1042, 2605, 5210, 6773, 13546, 33865, 67730.
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How to work it out
- 1
67730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67730 is composite. Its prime factorisation is
- 3
The divisors add up to 131544; without 67730 itself that is 63814, so 67730 is deficient (63814 is less than 67730). Euler's totient φ(67730) = 24960 numbers up to 67730 share no factor with it.
- 4
The digits of 67730 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67730 = 2 \times 5 \times 13 \times 521 \]
67730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 131544 |
| Euler totient φ(n) | 24960 |
| Square | 4587352900 |
| Cube | 310701411917000 |
| Square root | 260.249880 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.773 × |
67730 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and thirty |
| Binary (base 2) | 10000100010010010 |
| Octal (base 8) | 204222 |
| Hexadecimal (base 16) | 10892 |
| Base 3 | 10102220112 |
| As time | 67730 seconds = 18 h 48 min 50 s |
Is 67730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67730 ÷ 2 = 33865) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67730 ÷ 5 = 13546) | 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 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67730 ÷ 10 = 6773) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67730 a prime number?
No. 67730 = 2 × 5 × 13 × 521, so it is divisible by 2.
What are the factors of 67730?
1, 2, 5, 10, 13, 26, 65, 130, 521, 1042, 2605, 5210, 6773, 13546, 33865, 67730.
What is 67730 in binary?
10000100010010010 (hexadecimal 10892, octal 204222).
What is the square root of 67730?
About 260.2499.
Is 67730 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67730?
It is a composite number with 16 divisors.