The number 46687
46687 is the 4825th prime number. Its only divisors are 1 and 46687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46687: the 4825th prime number.
- 2
46687 is prime, so its only factors are 1 and 46687. It is the 4825th prime; the next prime is 46691 and the one before is 46681.
- 3
The divisors add up to 46688; without 46687 itself that is 1, so 46687 is deficient (1 is less than 46687). Euler's totient φ(46687) = 46686 numbers up to 46687 share no factor with it.
- 4
The digits of 46687 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.
46687 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46688 |
| Euler totient φ(n) | 46686 |
| Square | 2179675969 |
| Cube | 101762531964703 |
| Square root | 216.071747 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6687 × |
46687 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eighty-seven |
| Binary (base 2) | 1011011001011111 |
| Octal (base 8) | 133137 |
| Hexadecimal (base 16) | B65F |
| Base 3 | 2101001011 |
| As time | 46687 seconds = 12 h 58 min 7 s |
Is 46687 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 4) | 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 7) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46687 a prime number?
Yes. 46687 is divisible only by 1 and itself.
What are the factors of 46687?
1, 46687.
What is 46687 in binary?
1011011001011111 (hexadecimal B65F, octal 133137).
What is the square root of 46687?
About 216.0717.
Is 46687 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46687?
46687 is the 4825th prime number.