The number 55997
55997 is the 5683rd prime number. Its only divisors are 1 and 55997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55997: the 5683rd prime number.
- 2
55997 is prime, so its only factors are 1 and 55997. It is the 5683rd prime; the next prime is 56003 and the one before is 55987.
- 3
The divisors add up to 55998; without 55997 itself that is 1, so 55997 is deficient (1 is less than 55997). Euler's totient φ(55997) = 55996 numbers up to 55997 share no factor with it.
- 4
The digits of 55997 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
55997 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55998 |
| Euler totient φ(n) | 55996 |
| Square | 3135664009 |
| Cube | 175587777511973 |
| Square root | 236.636853 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5997 × |
55997 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and ninety-seven |
| Binary (base 2) | 1101101010111101 |
| Octal (base 8) | 155275 |
| Hexadecimal (base 16) | DABD |
| Base 3 | 2211210222 |
| As time | 55997 seconds = 15 h 33 min 17 s |
Is 55997 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 2) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 55997 a prime number?
Yes. 55997 is divisible only by 1 and itself.
What are the factors of 55997?
1, 55997.
What is 55997 in binary?
1101101010111101 (hexadecimal DABD, octal 155275).
What is the square root of 55997?
About 236.6369.
Is 55997 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 55997?
55997 is the 5683rd prime number.