The number 80713
80713 is the 7900th prime number. Its only divisors are 1 and 80713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80713: the 7900th prime number.
- 2
80713 is prime, so its only factors are 1 and 80713. It is the 7900th prime; the next prime is 80737 and the one before is 80701.
- 3
The divisors add up to 80714; without 80713 itself that is 1, so 80713 is deficient (1 is less than 80713). Euler's totient φ(80713) = 80712 numbers up to 80713 share no factor with it.
- 4
The digits of 80713 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
80713 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80714 |
| Euler totient φ(n) | 80712 |
| Square | 6514588369 |
| Cube | 525811971027097 |
| Square root | 284.100334 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 169 |
| Scientific notation | 8.0713 × |
80713 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand seven hundred and thirteen |
| Binary (base 2) | 10011101101001001 |
| Octal (base 8) | 235511 |
| Hexadecimal (base 16) | 13B49 |
| Base 3 | 11002201101 |
| As time | 80713 seconds = 22 h 25 min 13 s |
Is 80713 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 1) | 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 3) | 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 1) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80713 a prime number?
Yes. 80713 is divisible only by 1 and itself.
What are the factors of 80713?
1, 80713.
What is 80713 in binary?
10011101101001001 (hexadecimal 13B49, octal 235511).
What is the square root of 80713?
About 284.1003.
Is 80713 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 80713?
80713 is the 7900th prime number.