The number 46993
46993 is the 4850th prime number. Its only divisors are 1 and 46993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46993: the 4850th prime number.
- 2
46993 is prime, so its only factors are 1 and 46993. It is the 4850th prime; the next prime is 46997 and the one before is 46957.
- 3
The divisors add up to 46994; without 46993 itself that is 1, so 46993 is deficient (1 is less than 46993). Euler's totient φ(46993) = 46992 numbers up to 46993 share no factor with it.
- 4
The digits of 46993 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
46993 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46994 |
| Euler totient φ(n) | 46992 |
| Square | 2208342049 |
| Cube | 103776617908657 |
| Square root | 216.778689 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6993 × |
46993 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and ninety-three |
| Binary (base 2) | 1011011110010001 |
| Octal (base 8) | 133621 |
| Hexadecimal (base 16) | B791 |
| Base 3 | 2101110111 |
| As time | 46993 seconds = 13 h 3 min 13 s |
Is 46993 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46993 a prime number?
Yes. 46993 is divisible only by 1 and itself.
What are the factors of 46993?
1, 46993.
What is 46993 in binary?
1011011110010001 (hexadecimal B791, octal 133621).
What is the square root of 46993?
About 216.7787.
Is 46993 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46993?
46993 is the 4850th prime number.