The number 55967
55967 is the 5681st prime number. Its only divisors are 1 and 55967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55967: the 5681st prime number.
- 2
55967 is prime, so its only factors are 1 and 55967. It is the 5681st prime; the next prime is 55987 and the one before is 55949.
- 3
The divisors add up to 55968; without 55967 itself that is 1, so 55967 is deficient (1 is less than 55967). Euler's totient φ(55967) = 55966 numbers up to 55967 share no factor with it.
- 4
The digits of 55967 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
55967 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55968 |
| Euler totient φ(n) | 55966 |
| Square | 3132305089 |
| Cube | 175305718916063 |
| Square root | 236.573456 |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5967 × |
55967 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and sixty-seven |
| Binary (base 2) | 1101101010011111 |
| Octal (base 8) | 155237 |
| Hexadecimal (base 16) | DA9F |
| Base 3 | 2211202212 |
| As time | 55967 seconds = 15 h 32 min 47 s |
Is 55967 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 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 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 5) | 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 10) | 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 55967 a prime number?
Yes. 55967 is divisible only by 1 and itself.
What are the factors of 55967?
1, 55967.
What is 55967 in binary?
1101101010011111 (hexadecimal DA9F, octal 155237).
What is the square root of 55967?
About 236.5735.
Is 55967 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 55967?
55967 is the 5681st prime number.