The number 5501
5501 is a twin prime (5501 and 5503 are both prime) and the 726th prime number. Its only divisors are 1 and 5501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5501: a twin prime (5501 and 5503 are both prime); the 726th prime number.
- 2
5501 is prime, so its only factors are 1 and 5501. It is the 726th prime; the next prime is 5503 and the one before is 5483.
- 3
The divisors add up to 5502; without 5501 itself that is 1, so 5501 is deficient (1 is less than 5501). Euler's totient φ(5501) = 5500 numbers up to 5501 share no factor with it.
- 4
The digits of 5501 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
5501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5502 |
| Euler totient φ(n) | 5500 |
| Square | 30261001 |
| Cube | 166465766501 |
| Square root | 74.168727 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.501 × |
5501 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and one |
| Binary (base 2) | 1010101111101 |
| Octal (base 8) | 12575 |
| Hexadecimal (base 16) | 157D |
| Base 3 | 21112202 |
| As time | 5501 seconds = 1 h 31 min 41 s |
Is 5501 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 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 6) | 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 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 1) | 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 5501 a prime number?
Yes. 5501 is divisible only by 1 and itself.
What are the factors of 5501?
1, 5501.
What is 5501 in binary?
1010101111101 (hexadecimal 157D, octal 12575).
What is the square root of 5501?
About 74.1687.
Is 5501 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 5501?
5501 is a twin prime (5501 and 5503 are both prime); the 726th prime number.