The number 55639
55639 is the 5646th prime number. Its only divisors are 1 and 55639.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55639: the 5646th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55639 is prime, so its only factors are 1 and 55639. It is the 5646th prime; the next prime is 55661 and the one before is 55633.
- 3
The divisors add up to 55640; without 55639 itself that is 1, so 55639 is deficient (1 is less than 55639). Euler's totient φ(55639) = 55638 numbers up to 55639 share no factor with it.
- 4
The digits of 55639 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
55639 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55640 |
| Euler totient φ(n) | 55638 |
| Square | 3095698321 |
| Cube | 172241558882119 |
| Square root | 235.879206 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.5639 × |
55639 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and thirty-nine |
| Binary (base 2) | 1101100101010111 |
| Octal (base 8) | 154527 |
| Hexadecimal (base 16) | D957 |
| Base 3 | 2211022201 |
| As time | 55639 seconds = 15 h 27 min 19 s |
Is 55639 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 4) | 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 3) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55639 a prime number?
Yes. 55639 is divisible only by 1 and itself.
What are the factors of 55639?
1, 55639.
What is 55639 in binary?
1101100101010111 (hexadecimal D957, octal 154527).
What is the square root of 55639?
About 235.8792.
Is 55639 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 55639?
55639 is the 5646th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.