The number 8264
8264 is a composite number with 8 divisors. Its prime factorisation is × 1033. Divisors (8): 1, 2, 4, 8, 1033, 2066, 4132, 8264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8264 is composite. Its prime factorisation is
- 3
The divisors add up to 15510; without 8264 itself that is 7246, so 8264 is deficient (7246 is less than 8264). Euler's totient φ(8264) = 4128 numbers up to 8264 share no factor with it.
- 4
The digits of 8264 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 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8264 = 2^{3} \times 1033 \]8264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15510 |
| Euler totient φ(n) | 4128 |
| Square | 68293696 |
| Cube | 564379103744 |
| Square root | 90.906545 (= 2√2066) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.264 × |
8264 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and sixty-four |
| Binary (base 2) | 10000001001000 |
| Octal (base 8) | 20110 |
| Hexadecimal (base 16) | 2048 |
| Base 3 | 102100002 |
| As time | 8264 seconds = 2 h 17 min 44 s |
Is 8264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8264 ÷ 2 = 4132) | 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 | Yes (8264 ÷ 4 = 2066) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (8264 ÷ 8 = 1033) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8264 a prime number?
No. 8264 = × 1033, so it is divisible by 2.
What are the factors of 8264?
1, 2, 4, 8, 1033, 2066, 4132, 8264.
What is 8264 in binary?
10000001001000 (hexadecimal 2048, octal 20110).
What is the square root of 8264?
About 90.9065, exactly 2√2066.
Is 8264 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8264?
It is a composite number with 8 divisors.