The number 55807
55807 is the 5662nd prime number. Its only divisors are 1 and 55807.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55807: the 5662nd prime number.
- 2
55807 is prime, so its only factors are 1 and 55807. It is the 5662nd prime; the next prime is 55813 and the one before is 55799.
- 3
The divisors add up to 55808; without 55807 itself that is 1, so 55807 is deficient (1 is less than 55807). Euler's totient φ(55807) = 55806 numbers up to 55807 share no factor with it.
- 4
The digits of 55807 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
55807 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55808 |
| Euler totient φ(n) | 55806 |
| Square | 3114421249 |
| Cube | 173806506642943 |
| Square root | 236.235052 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.5807 × |
55807 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and seven |
| Binary (base 2) | 1101100111111111 |
| Octal (base 8) | 154777 |
| Hexadecimal (base 16) | D9FF |
| Base 3 | 2211112221 |
| As time | 55807 seconds = 15 h 30 min 7 s |
Is 55807 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 2) | 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 7) | 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 4) | 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 55807 a prime number?
Yes. 55807 is divisible only by 1 and itself.
What are the factors of 55807?
1, 55807.
What is 55807 in binary?
1101100111111111 (hexadecimal D9FF, octal 154777).
What is the square root of 55807?
About 236.2351.
Is 55807 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55807?
55807 is the 5662nd prime number.