The number 8248
8248 is a composite number with 8 divisors. Its prime factorisation is × 1031. Divisors (8): 1, 2, 4, 8, 1031, 2062, 4124, 8248.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8248 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8248 is composite. Its prime factorisation is
- 3
The divisors add up to 15480; without 8248 itself that is 7232, so 8248 is deficient (7232 is less than 8248). Euler's totient φ(8248) = 4120 numbers up to 8248 share no factor with it.
- 4
The digits of 8248 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8248 = 2^{3} \times 1031 \]8248 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15480 |
| Euler totient φ(n) | 4120 |
| Square | 68029504 |
| Cube | 561107348992 |
| Square root | 90.818500 (= 2√2062) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 8.248 × |
8248 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and forty-eight |
| Binary (base 2) | 10000000111000 |
| Octal (base 8) | 20070 |
| Hexadecimal (base 16) | 2038 |
| Base 3 | 102022111 |
| As time | 8248 seconds = 2 h 17 min 28 s |
Is 8248 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8248 ÷ 2 = 4124) | 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 | Yes (8248 ÷ 4 = 2062) | 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 4) | 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 | Yes (8248 ÷ 8 = 1031) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8248 a prime number?
No. 8248 = × 1031, so it is divisible by 2.
What are the factors of 8248?
1, 2, 4, 8, 1031, 2062, 4124, 8248.
What is 8248 in binary?
10000000111000 (hexadecimal 2038, octal 20070).
What is the square root of 8248?
About 90.8185, exactly 2√2062.
Is 8248 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 8248?
It is a composite number with 8 divisors.