The number 502
502 is a composite number with 4 divisors. Its prime factorisation is 2 × 251. Divisors (4): 1, 2, 251, 502.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 502: a semiprime: 2 × 251, the product of two primes.
- 2
502 is composite. Its prime factorisation is
- 3
The divisors add up to 756; without 502 itself that is 254, so 502 is deficient (254 is less than 502). Euler's totient φ(502) = 250 numbers up to 502 share no factor with it.
- 4
The digits of 502 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 502 = 2 \times 251 \]
502 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 756 |
| Euler totient φ(n) | 250 |
| Square | 252004 |
| Cube | 126506008 |
| Square root | 22.405357 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 5.02 × |
502 in other forms
| Form | Value |
|---|---|
| In words | five hundred and two |
| Roman numerals | DII |
| Binary (base 2) | 111110110 |
| Octal (base 8) | 766 |
| Hexadecimal (base 16) | 1F6 |
| Base 3 | 200121 |
| As time | 502 seconds = 8 min 22 s |
Is 502 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (502 ÷ 2 = 251) | 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 2) | 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 4) | 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 6) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 502 a prime number?
No. 502 = 2 × 251, so it is divisible by 2.
What are the factors of 502?
1, 2, 251, 502.
What is 502 in binary?
111110110 (hexadecimal 1F6, octal 766).
What is the square root of 502?
About 22.4054.
What is 502 in Roman numerals?
DII.
Is 502 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 502?
502 is a semiprime: 2 × 251, the product of two primes.