The number 67309
67309 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 211. Divisors (8): 1, 11, 29, 211, 319, 2321, 6119, 67309.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67309 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67309 is composite. Its prime factorisation is
- 3
The divisors add up to 76320; without 67309 itself that is 9011, so 67309 is deficient (9011 is less than 67309). Euler's totient φ(67309) = 58800 numbers up to 67309 share no factor with it.
- 4
The digits of 67309 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67309 = 11 \times 29 \times 211 \]
67309 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76320 |
| Euler totient φ(n) | 58800 |
| Square | 4530501481 |
| Cube | 304943524184629 |
| Square root | 259.439781 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7309 × |
67309 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and nine |
| Binary (base 2) | 10000011011101101 |
| Octal (base 8) | 203355 |
| Hexadecimal (base 16) | 106ED |
| Base 3 | 10102022221 |
| As time | 67309 seconds = 18 h 41 min 49 s |
Is 67309 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67309 ÷ 11 = 6119) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67309 a prime number?
No. 67309 = 11 × 29 × 211, so it is divisible by 11.
What are the factors of 67309?
1, 11, 29, 211, 319, 2321, 6119, 67309.
What is 67309 in binary?
10000011011101101 (hexadecimal 106ED, octal 203355).
What is the square root of 67309?
About 259.4398.
Is 67309 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 67309?
It is a composite number with 8 divisors.