The number 55529
55529 is the 5635th prime number. Its only divisors are 1 and 55529.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55529: the 5635th prime number.
- 2
55529 is prime, so its only factors are 1 and 55529. It is the 5635th prime; the next prime is 55541 and the one before is 55511.
- 3
The divisors add up to 55530; without 55529 itself that is 1, so 55529 is deficient (1 is less than 55529). Euler's totient φ(55529) = 55528 numbers up to 55529 share no factor with it.
- 4
The digits of 55529 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
55529 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55530 |
| Euler totient φ(n) | 55528 |
| Square | 3083469841 |
| Cube | 171221996800889 |
| Square root | 235.645921 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5529 × |
55529 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and twenty-nine |
| Binary (base 2) | 1101100011101001 |
| Octal (base 8) | 154351 |
| Hexadecimal (base 16) | D8E9 |
| Base 3 | 2211011122 |
| As time | 55529 seconds = 15 h 25 min 29 s |
Is 55529 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 1) | 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 55529 a prime number?
Yes. 55529 is divisible only by 1 and itself.
What are the factors of 55529?
1, 55529.
What is 55529 in binary?
1101100011101001 (hexadecimal D8E9, octal 154351).
What is the square root of 55529?
About 235.6459.
Is 55529 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55529?
55529 is the 5635th prime number.