The number 67301
67301 is a composite number with 8 divisors. Its prime factorisation is 13 × 31 × 167. Divisors (8): 1, 13, 31, 167, 403, 2171, 5177, 67301.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67301 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67301 is composite. Its prime factorisation is
- 3
The divisors add up to 75264; without 67301 itself that is 7963, so 67301 is deficient (7963 is less than 67301). Euler's totient φ(67301) = 59760 numbers up to 67301 share no factor with it.
- 4
The digits of 67301 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
\[ 67301 = 13 \times 31 \times 167 \]
67301 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 75264 |
| Euler totient φ(n) | 59760 |
| Square | 4529424601 |
| Cube | 304834805071901 |
| Square root | 259.424363 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.7301 × |
67301 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and one |
| Binary (base 2) | 10000011011100101 |
| Octal (base 8) | 203345 |
| Hexadecimal (base 16) | 106E5 |
| Base 3 | 10102022122 |
| As time | 67301 seconds = 18 h 41 min 41 s |
Is 67301 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 2) | 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 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 | No (remainder 5) | 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 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67301 a prime number?
No. 67301 = 13 × 31 × 167, so it is divisible by 13.
What are the factors of 67301?
1, 13, 31, 167, 403, 2171, 5177, 67301.
What is 67301 in binary?
10000011011100101 (hexadecimal 106E5, octal 203345).
What is the square root of 67301?
About 259.4244.
Is 67301 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67301?
It is a composite number with 8 divisors.