The number 55501
55501 is the 5633rd prime number. Its only divisors are 1 and 55501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55501: the 5633rd prime number.
- 2
55501 is prime, so its only factors are 1 and 55501. It is the 5633rd prime; the next prime is 55511 and the one before is 55487.
- 3
The divisors add up to 55502; without 55501 itself that is 1, so 55501 is deficient (1 is less than 55501). Euler's totient φ(55501) = 55500 numbers up to 55501 share no factor with it.
- 4
The digits of 55501 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
55501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 55502 |
| Euler totient φ(n) | 55500 |
| Square | 3080361001 |
| Cube | 170963115916501 |
| Square root | 235.586502 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5501 × |
55501 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and one |
| Binary (base 2) | 1101100011001101 |
| Octal (base 8) | 154315 |
| Hexadecimal (base 16) | D8CD |
| Base 3 | 2211010121 |
| As time | 55501 seconds = 15 h 25 min 1 s |
Is 55501 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55501 a prime number?
Yes. 55501 is divisible only by 1 and itself.
What are the factors of 55501?
1, 55501.
What is 55501 in binary?
1101100011001101 (hexadecimal D8CD, octal 154315).
What is the square root of 55501?
About 235.5865.
Is 55501 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 55501?
55501 is the 5633rd prime number.