The number 67601
67601 is the 6736th prime number. Its only divisors are 1 and 67601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67601: the 6736th prime number.
- 2
67601 is prime, so its only factors are 1 and 67601. It is the 6736th prime; the next prime is 67607 and the one before is 67589.
- 3
The divisors add up to 67602; without 67601 itself that is 1, so 67601 is deficient (1 is less than 67601). Euler's totient φ(67601) = 67600 numbers up to 67601 share no factor with it.
- 4
The digits of 67601 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
67601 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67602 |
| Euler totient φ(n) | 67600 |
| Square | 4569895201 |
| Cube | 308929485482801 |
| Square root | 260.001923 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.7601 × |
67601 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and one |
| Binary (base 2) | 10000100000010001 |
| Octal (base 8) | 204021 |
| Hexadecimal (base 16) | 10811 |
| Base 3 | 10102201202 |
| As time | 67601 seconds = 18 h 46 min 41 s |
Is 67601 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 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | 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 67601 a prime number?
Yes. 67601 is divisible only by 1 and itself.
What are the factors of 67601?
1, 67601.
What is 67601 in binary?
10000100000010001 (hexadecimal 10811, octal 204021).
What is the square root of 67601?
About 260.0019.
Is 67601 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 67601?
67601 is the 6736th prime number.