The number 46747
46747 is the 4830th prime number. Its only divisors are 1 and 46747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46747: the 4830th prime number.
- 2
46747 is prime, so its only factors are 1 and 46747. It is the 4830th prime; the next prime is 46751 and the one before is 46727.
- 3
The divisors add up to 46748; without 46747 itself that is 1, so 46747 is deficient (1 is less than 46747). Euler's totient φ(46747) = 46746 numbers up to 46747 share no factor with it.
- 4
The digits of 46747 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
46747 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46748 |
| Euler totient φ(n) | 46746 |
| Square | 2185282009 |
| Cube | 102155378074723 |
| Square root | 216.210546 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.6747 × |
46747 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and forty-seven |
| Binary (base 2) | 1011011010011011 |
| Octal (base 8) | 133233 |
| Hexadecimal (base 16) | B69B |
| Base 3 | 2101010101 |
| As time | 46747 seconds = 12 h 59 min 7 s |
Is 46747 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46747 a prime number?
Yes. 46747 is divisible only by 1 and itself.
What are the factors of 46747?
1, 46747.
What is 46747 in binary?
1011011010011011 (hexadecimal B69B, octal 133233).
What is the square root of 46747?
About 216.2105.
Is 46747 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46747?
46747 is the 4830th prime number.