The number 8048
8048 is a composite number with 10 divisors. Its prime factorisation is × 503. Divisors (10): 1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8048 is composite. Its prime factorisation is
- 3
The divisors add up to 15624; without 8048 itself that is 7576, so 8048 is deficient (7576 is less than 8048). Euler's totient φ(8048) = 4016 numbers up to 8048 share no factor with it.
- 4
The digits of 8048 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 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8048 = 2^{4} \times 503 \]8048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 15624 |
| Euler totient φ(n) | 4016 |
| Square | 64770304 |
| Cube | 521271406592 |
| Square root | 89.710646 (= 4√503) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 8.048 × |
8048 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and forty-eight |
| Binary (base 2) | 1111101110000 |
| Octal (base 8) | 17560 |
| Hexadecimal (base 16) | 1F70 |
| Base 3 | 102001002 |
| As time | 8048 seconds = 2 h 14 min 8 s |
Is 8048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8048 ÷ 2 = 4024) | 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 (8048 ÷ 4 = 2012) | 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 2) | 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 | Yes (8048 ÷ 8 = 1006) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 8048 a prime number?
No. 8048 = × 503, so it is divisible by 2.
What are the factors of 8048?
1, 2, 4, 8, 16, 503, 1006, 2012, 4024, 8048.
What is 8048 in binary?
1111101110000 (hexadecimal 1F70, octal 17560).
What is the square root of 8048?
About 89.7106, exactly 4√503.
Is 8048 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8048?
It is a composite number with 10 divisors.