The number 55829
55829 is the 5667th prime number. Its only divisors are 1 and 55829.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55829: the 5667th prime number.
- 2
55829 is prime, so its only factors are 1 and 55829. It is the 5667th prime; the next prime is 55837 and the one before is 55823.
- 3
The divisors add up to 55830; without 55829 itself that is 1, so 55829 is deficient (1 is less than 55829). Euler's totient φ(55829) = 55828 numbers up to 55829 share no factor with it.
- 4
The digits of 55829 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 91 steps to reach 1.
55829 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55830 |
| Euler totient φ(n) | 55828 |
| Square | 3116877241 |
| Cube | 174012139487789 |
| Square root | 236.281612 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5829 × |
55829 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and twenty-nine |
| Binary (base 2) | 1101101000010101 |
| Octal (base 8) | 155025 |
| Hexadecimal (base 16) | DA15 |
| Base 3 | 2211120202 |
| As time | 55829 seconds = 15 h 30 min 29 s |
Is 55829 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 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 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 4) | 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 55829 a prime number?
Yes. 55829 is divisible only by 1 and itself.
What are the factors of 55829?
1, 55829.
What is 55829 in binary?
1101101000010101 (hexadecimal DA15, octal 155025).
What is the square root of 55829?
About 236.2816.
Is 55829 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 55829?
55829 is the 5667th prime number.