The number 8267
8267 is a composite number with 4 divisors. Its prime factorisation is 7 × 1181. Divisors (4): 1, 7, 1181, 8267.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8267: a semiprime: 7 × 1181, the product of two primes.
- 2
8267 is composite. Its prime factorisation is
- 3
The divisors add up to 9456; without 8267 itself that is 1189, so 8267 is deficient (1189 is less than 8267). Euler's totient φ(8267) = 7080 numbers up to 8267 share no factor with it.
- 4
The digits of 8267 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8267 = 7 \times 1181 \]
8267 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 9456 |
| Euler totient φ(n) | 7080 |
| Square | 68343289 |
| Cube | 564993970163 |
| Square root | 90.923044 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 127 |
| Scientific notation | 8.267 × |
8267 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and sixty-seven |
| Binary (base 2) | 10000001001011 |
| Octal (base 8) | 20113 |
| Hexadecimal (base 16) | 204B |
| Base 3 | 102100012 |
| As time | 8267 seconds = 2 h 17 min 47 s |
Is 8267 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (8267 ÷ 7 = 1181) | 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 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8267 a prime number?
No. 8267 = 7 × 1181, so it is divisible by 7.
What are the factors of 8267?
1, 7, 1181, 8267.
What is 8267 in binary?
10000001001011 (hexadecimal 204B, octal 20113).
What is the square root of 8267?
About 90.9230.
Is 8267 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 8267?
8267 is a semiprime: 7 × 1181, the product of two primes.