The number 80513
80513 is the 7880th prime number. Its only divisors are 1 and 80513.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80513: the 7880th prime number.
- 2
80513 is prime, so its only factors are 1 and 80513. It is the 7880th prime; the next prime is 80527 and the one before is 80491.
- 3
The divisors add up to 80514; without 80513 itself that is 1, so 80513 is deficient (1 is less than 80513). Euler's totient φ(80513) = 80512 numbers up to 80513 share no factor with it.
- 4
The digits of 80513 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 120 steps to reach 1.
80513 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80514 |
| Euler totient φ(n) | 80512 |
| Square | 6482343169 |
| Cube | 521912895565697 |
| Square root | 283.748128 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 120 |
| Scientific notation | 8.0513 × |
80513 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand five hundred and thirteen |
| Binary (base 2) | 10011101010000001 |
| Octal (base 8) | 235201 |
| Hexadecimal (base 16) | 13A81 |
| Base 3 | 11002102222 |
| As time | 80513 seconds = 22 h 21 min 53 s |
Is 80513 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 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 1) | 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 4) | 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 80513 a prime number?
Yes. 80513 is divisible only by 1 and itself.
What are the factors of 80513?
1, 80513.
What is 80513 in binary?
10011101010000001 (hexadecimal 13A81, octal 235201).
What is the square root of 80513?
About 283.7481.
Is 80513 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 80513?
80513 is the 7880th prime number.