The number 67901
67901 is the 6763rd prime number. Its only divisors are 1 and 67901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67901: the 6763rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67901 is prime, so its only factors are 1 and 67901. It is the 6763rd prime; the next prime is 67927 and the one before is 67891.
- 3
The divisors add up to 67902; without 67901 itself that is 1, so 67901 is deficient (1 is less than 67901). Euler's totient φ(67901) = 67900 numbers up to 67901 share no factor with it.
- 4
The digits of 67901 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 143 steps to reach 1.
67901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 67902 |
| Euler totient φ(n) | 67900 |
| Square | 4610545801 |
| Cube | 313060670433701 |
| Square root | 260.578203 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 6.7901 × |
67901 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand nine hundred and one |
| Binary (base 2) | 10000100100111101 |
| Octal (base 8) | 204475 |
| Hexadecimal (base 16) | 1093D |
| Base 3 | 10110010212 |
| As time | 67901 seconds = 18 h 51 min 41 s |
Is 67901 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 1) | 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 5) | 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 9) | 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 67901 a prime number?
Yes. 67901 is divisible only by 1 and itself.
What are the factors of 67901?
1, 67901.
What is 67901 in binary?
10000100100111101 (hexadecimal 1093D, octal 204475).
What is the square root of 67901?
About 260.5782.
Is 67901 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67901?
67901 is the 6763rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.