The number 13267
13267 is the 1577th prime number. Its only divisors are 1 and 13267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13267: the 1577th prime number.
- 2
13267 is prime, so its only factors are 1 and 13267. It is the 1577th prime; the next prime is 13291 and the one before is 13259.
- 3
The divisors add up to 13268; without 13267 itself that is 1, so 13267 is deficient (1 is less than 13267). Euler's totient φ(13267) = 13266 numbers up to 13267 share no factor with it.
- 4
The digits of 13267 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 76 steps to reach 1.
13267 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 13268 |
| Euler totient φ(n) | 13266 |
| Square | 176013289 |
| Cube | 2335168305163 |
| Square root | 115.182464 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3267 × |
13267 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and sixty-seven |
| Binary (base 2) | 11001111010011 |
| Octal (base 8) | 31723 |
| Hexadecimal (base 16) | 33D3 |
| Base 3 | 200012101 |
| As time | 13267 seconds = 3 h 41 min 7 s |
Is 13267 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 2) | 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 1) | 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 1) | 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 13267 a prime number?
Yes. 13267 is divisible only by 1 and itself.
What are the factors of 13267?
1, 13267.
What is 13267 in binary?
11001111010011 (hexadecimal 33D3, octal 31723).
What is the square root of 13267?
About 115.1825.
Is 13267 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13267?
13267 is the 1577th prime number.