The number 10273
10273 is a twin prime (10271 and 10273 are both prime) and the 1261st prime number. Its only divisors are 1 and 10273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10273: a twin prime (10271 and 10273 are both prime); the 1261st prime number.
- 2
10273 is prime, so its only factors are 1 and 10273. It is the 1261st prime; the next prime is 10289 and the one before is 10271.
- 3
The divisors add up to 10274; without 10273 itself that is 1, so 10273 is deficient (1 is less than 10273). Euler's totient φ(10273) = 10272 numbers up to 10273 share no factor with it.
- 4
The digits of 10273 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
10273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10274 |
| Euler totient φ(n) | 10272 |
| Square | 105534529 |
| Cube | 1084156216417 |
| Square root | 101.355809 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0273 × |
10273 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and seventy-three |
| Binary (base 2) | 10100000100001 |
| Octal (base 8) | 24041 |
| Hexadecimal (base 16) | 2821 |
| Base 3 | 112002111 |
| As time | 10273 seconds = 2 h 51 min 13 s |
Is 10273 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 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 4) | 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 10) | 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 10273 a prime number?
Yes. 10273 is divisible only by 1 and itself.
What are the factors of 10273?
1, 10273.
What is 10273 in binary?
10100000100001 (hexadecimal 2821, octal 24041).
What is the square root of 10273?
About 101.3558.
Is 10273 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 10273?
10273 is a twin prime (10271 and 10273 are both prime); the 1261st prime number.