The number 80273
80273 is the 7861st prime number. Its only divisors are 1 and 80273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80273: the 7861st prime number.
- 2
80273 is prime, so its only factors are 1 and 80273. It is the 7861st prime; the next prime is 80279 and the one before is 80263.
- 3
The divisors add up to 80274; without 80273 itself that is 1, so 80273 is deficient (1 is less than 80273). Euler's totient φ(80273) = 80272 numbers up to 80273 share no factor with it.
- 4
The digits of 80273 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 213 steps to reach 1.
80273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 80274 |
| Euler totient φ(n) | 80272 |
| Square | 6443754529 |
| Cube | 517259507306417 |
| Square root | 283.324902 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 213 |
| Scientific notation | 8.0273 × |
80273 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and seventy-three |
| Binary (base 2) | 10011100110010001 |
| Octal (base 8) | 234621 |
| Hexadecimal (base 16) | 13991 |
| Base 3 | 11002010002 |
| As time | 80273 seconds = 22 h 17 min 53 s |
Is 80273 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 4) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80273 a prime number?
Yes. 80273 is divisible only by 1 and itself.
What are the factors of 80273?
1, 80273.
What is 80273 in binary?
10011100110010001 (hexadecimal 13991, octal 234621).
What is the square root of 80273?
About 283.3249.
Is 80273 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80273?
80273 is the 7861st prime number.