The number 67961
67961 is the 6770th prime number. Its only divisors are 1 and 67961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67961: the 6770th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67961 is prime, so its only factors are 1 and 67961. It is the 6770th prime; the next prime is 67967 and the one before is 67957.
- 3
The divisors add up to 67962; without 67961 itself that is 1, so 67961 is deficient (1 is less than 67961). Euler's totient φ(67961) = 67960 numbers up to 67961 share no factor with it.
- 4
The digits of 67961 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
67961 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67962 |
| Euler totient φ(n) | 67960 |
| Square | 4618697521 |
| Cube | 313891302224681 |
| Square root | 260.693306 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.7961 × |
67961 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and sixty-one |
| Binary (base 2) | 10000100101111001 |
| Octal (base 8) | 204571 |
| Hexadecimal (base 16) | 10979 |
| Base 3 | 10110020002 |
| As time | 67961 seconds = 18 h 52 min 41 s |
Is 67961 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 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 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 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 67961 a prime number?
Yes. 67961 is divisible only by 1 and itself.
What are the factors of 67961?
1, 67961.
What is 67961 in binary?
10000100101111001 (hexadecimal 10979, octal 204571).
What is the square root of 67961?
About 260.6933.
Is 67961 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 67961?
67961 is the 6770th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.