The number 10267
10267 is the 1259th prime number. Its only divisors are 1 and 10267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10267: the 1259th prime number.
- 2
10267 is prime, so its only factors are 1 and 10267. It is the 1259th prime; the next prime is 10271 and the one before is 10259.
- 3
The divisors add up to 10268; without 10267 itself that is 1, so 10267 is deficient (1 is less than 10267). Euler's totient φ(10267) = 10266 numbers up to 10267 share no factor with it.
- 4
The digits of 10267 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 148 steps to reach 1.
10267 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10268 |
| Euler totient φ(n) | 10266 |
| Square | 105411289 |
| Cube | 1082257704163 |
| Square root | 101.326206 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 148 |
| Scientific notation | 1.0267 × |
10267 in other forms
| Form | Value |
|---|---|
| In words | ten thousand two hundred and sixty-seven |
| Binary (base 2) | 10100000011011 |
| Octal (base 8) | 24033 |
| Hexadecimal (base 16) | 281B |
| Base 3 | 112002021 |
| As time | 10267 seconds = 2 h 51 min 7 s |
Is 10267 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10267 a prime number?
Yes. 10267 is divisible only by 1 and itself.
What are the factors of 10267?
1, 10267.
What is 10267 in binary?
10100000011011 (hexadecimal 281B, octal 24033).
What is the square root of 10267?
About 101.3262.
Is 10267 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10267?
10267 is the 1259th prime number.