The number 46807
46807 is the 4835th prime number. Its only divisors are 1 and 46807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46807: the 4835th prime number.
- 2
46807 is prime, so its only factors are 1 and 46807. It is the 4835th prime; the next prime is 46811 and the one before is 46771.
- 3
The divisors add up to 46808; without 46807 itself that is 1, so 46807 is deficient (1 is less than 46807). Euler's totient φ(46807) = 46806 numbers up to 46807 share no factor with it.
- 4
The digits of 46807 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
46807 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46808 |
| Euler totient φ(n) | 46806 |
| Square | 2190895249 |
| Cube | 102549233919943 |
| Square root | 216.349255 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6807 × |
46807 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and seven |
| Binary (base 2) | 1011011011010111 |
| Octal (base 8) | 133327 |
| Hexadecimal (base 16) | B6D7 |
| Base 3 | 2101012121 |
| As time | 46807 seconds = 13 h 0 min 7 s |
Is 46807 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 5) | 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 7) | 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 2) | 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 46807 a prime number?
Yes. 46807 is divisible only by 1 and itself.
What are the factors of 46807?
1, 46807.
What is 46807 in binary?
1011011011010111 (hexadecimal B6D7, octal 133327).
What is the square root of 46807?
About 216.3493.
Is 46807 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46807?
46807 is the 4835th prime number.