The number 5503
5503 is a twin prime (5501 and 5503 are both prime) and the 727th prime number. Its only divisors are 1 and 5503.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5503: a twin prime (5501 and 5503 are both prime); the 727th prime number.
- 2
5503 is prime, so its only factors are 1 and 5503. It is the 727th prime; the next prime is 5507 and the one before is 5501.
- 3
The divisors add up to 5504; without 5503 itself that is 1, so 5503 is deficient (1 is less than 5503). Euler's totient φ(5503) = 5502 numbers up to 5503 share no factor with it.
- 4
The digits of 5503 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 173 steps to reach 1.
5503 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5504 |
| Euler totient φ(n) | 5502 |
| Square | 30283009 |
| Cube | 166647398527 |
| Square root | 74.182208 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 173 |
| Scientific notation | 5.503 × |
5503 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and three |
| Binary (base 2) | 1010101111111 |
| Octal (base 8) | 12577 |
| Hexadecimal (base 16) | 157F |
| Base 3 | 21112211 |
| As time | 5503 seconds = 1 h 31 min 43 s |
Is 5503 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 3) | 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 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 5503 a prime number?
Yes. 5503 is divisible only by 1 and itself.
What are the factors of 5503?
1, 5503.
What is 5503 in binary?
1010101111111 (hexadecimal 157F, octal 12577).
What is the square root of 5503?
About 74.1822.
Is 5503 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 5503?
5503 is a twin prime (5501 and 5503 are both prime); the 727th prime number.