The number 46829
46829 is a twin prime (46829 and 46831 are both prime) and the 4839th prime number. Its only divisors are 1 and 46829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46829: a twin prime (46829 and 46831 are both prime); the 4839th prime number.
- 2
46829 is prime, so its only factors are 1 and 46829. It is the 4839th prime; the next prime is 46831 and the one before is 46819.
- 3
The divisors add up to 46830; without 46829 itself that is 1, so 46829 is deficient (1 is less than 46829). Euler's totient φ(46829) = 46828 numbers up to 46829 share no factor with it.
- 4
The digits of 46829 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
46829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 46830 |
| Euler totient φ(n) | 46828 |
| Square | 2192955241 |
| Cube | 102693900980789 |
| Square root | 216.400092 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6829 × |
46829 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twenty-nine |
| Binary (base 2) | 1011011011101101 |
| Octal (base 8) | 133355 |
| Hexadecimal (base 16) | B6ED |
| Base 3 | 2101020102 |
| As time | 46829 seconds = 13 h 0 min 29 s |
Is 46829 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 4) | 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 6) | 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 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46829 a prime number?
Yes. 46829 is divisible only by 1 and itself.
What are the factors of 46829?
1, 46829.
What is 46829 in binary?
1011011011101101 (hexadecimal B6ED, octal 133355).
What is the square root of 46829?
About 216.4001.
Is 46829 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 46829?
46829 is a twin prime (46829 and 46831 are both prime); the 4839th prime number.