The number 503
503 is the 96th prime number. Its only divisors are 1 and 503.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 503: the 96th prime number.
- 2
503 is prime, so its only factors are 1 and 503. It is the 96th prime; the next prime is 509 and the one before is 499.
- 3
The divisors add up to 504; without 503 itself that is 1, so 503 is deficient (1 is less than 503). Euler's totient φ(503) = 502 numbers up to 503 share no factor with it.
- 4
The digits of 503 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
503 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 504 |
| Euler totient φ(n) | 502 |
| Square | 253009 |
| Cube | 127263527 |
| Square root | 22.427661 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 66 |
| Scientific notation | 5.03 × |
503 in other forms
| Form | Value |
|---|---|
| In words | five hundred and three |
| Roman numerals | DIII |
| Binary (base 2) | 111110111 |
| Octal (base 8) | 767 |
| Hexadecimal (base 16) | 1F7 |
| Base 3 | 200122 |
| As time | 503 seconds = 8 min 23 s |
Is 503 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 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 8) | 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 503 a prime number?
Yes. 503 is divisible only by 1 and itself.
What are the factors of 503?
1, 503.
What is 503 in binary?
111110111 (hexadecimal 1F7, octal 767).
What is the square root of 503?
About 22.4277.
What is 503 in Roman numerals?
DIII.
Is 503 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 503?
503 is the 96th prime number.