The number 5081
5081 is the 679th prime number. Its only divisors are 1 and 5081.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5081: the 679th prime number.
- 2
5081 is prime, so its only factors are 1 and 5081. It is the 679th prime; the next prime is 5087 and the one before is 5077.
- 3
The divisors add up to 5082; without 5081 itself that is 1, so 5081 is deficient (1 is less than 5081). Euler's totient φ(5081) = 5080 numbers up to 5081 share no factor with it.
- 4
The digits of 5081 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
5081 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5082 |
| Euler totient φ(n) | 5080 |
| Square | 25816561 |
| Cube | 131173946441 |
| Square root | 71.281134 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.081 × |
5081 in other forms
| Form | Value |
|---|---|
| In words | five thousand and eighty-one |
| Binary (base 2) | 1001111011001 |
| Octal (base 8) | 11731 |
| Hexadecimal (base 16) | 13D9 |
| Base 3 | 20222012 |
| As time | 5081 seconds = 1 h 24 min 41 s |
Is 5081 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | 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 5081 a prime number?
Yes. 5081 is divisible only by 1 and itself.
What are the factors of 5081?
1, 5081.
What is 5081 in binary?
1001111011001 (hexadecimal 13D9, octal 11731).
What is the square root of 5081?
About 71.2811.
Is 5081 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5081?
5081 is the 679th prime number.