The number 46901
46901 is the 4846th prime number. Its only divisors are 1 and 46901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46901: the 4846th prime number.
- 2
46901 is prime, so its only factors are 1 and 46901. It is the 4846th prime; the next prime is 46919 and the one before is 46889.
- 3
The divisors add up to 46902; without 46901 itself that is 1, so 46901 is deficient (1 is less than 46901). Euler's totient φ(46901) = 46900 numbers up to 46901 share no factor with it.
- 4
The digits of 46901 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 39 steps to reach 1.
46901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46902 |
| Euler totient φ(n) | 46900 |
| Square | 2199703801 |
| Cube | 103168307970701 |
| Square root | 216.566387 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6901 × |
46901 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and one |
| Binary (base 2) | 1011011100110101 |
| Octal (base 8) | 133465 |
| Hexadecimal (base 16) | B735 |
| Base 3 | 2101100002 |
| As time | 46901 seconds = 13 h 1 min 41 s |
Is 46901 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 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 8) | 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 46901 a prime number?
Yes. 46901 is divisible only by 1 and itself.
What are the factors of 46901?
1, 46901.
What is 46901 in binary?
1011011100110101 (hexadecimal B735, octal 133465).
What is the square root of 46901?
About 216.5664.
Is 46901 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46901?
46901 is the 4846th prime number.