The number 55631
55631 is a twin prime (55631 and 55633 are both prime) and the 5644th prime number. Its only divisors are 1 and 55631.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55631: a twin prime (55631 and 55633 are both prime); the 5644th prime number.
- 2
55631 is prime, so its only factors are 1 and 55631. It is the 5644th prime; the next prime is 55633 and the one before is 55621.
- 3
The divisors add up to 55632; without 55631 itself that is 1, so 55631 is deficient (1 is less than 55631). Euler's totient φ(55631) = 55630 numbers up to 55631 share no factor with it.
- 4
The digits of 55631 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
55631 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55632 |
| Euler totient φ(n) | 55630 |
| Square | 3094808161 |
| Cube | 172167272804591 |
| Square root | 235.862248 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.5631 × |
55631 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and thirty-one |
| Binary (base 2) | 1101100101001111 |
| Octal (base 8) | 154517 |
| Hexadecimal (base 16) | D94F |
| Base 3 | 2211022102 |
| As time | 55631 seconds = 15 h 27 min 11 s |
Is 55631 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 2) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55631 a prime number?
Yes. 55631 is divisible only by 1 and itself.
What are the factors of 55631?
1, 55631.
What is 55631 in binary?
1101100101001111 (hexadecimal D94F, octal 154517).
What is the square root of 55631?
About 235.8622.
Is 55631 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 55631?
55631 is a twin prime (55631 and 55633 are both prime); the 5644th prime number.