The number 5048
5048 is a composite number with 8 divisors. Its prime factorisation is × 631. Divisors (8): 1, 2, 4, 8, 631, 1262, 2524, 5048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5048 is composite. Its prime factorisation is
- 3
The divisors add up to 9480; without 5048 itself that is 4432, so 5048 is deficient (4432 is less than 5048). Euler's totient φ(5048) = 2520 numbers up to 5048 share no factor with it.
- 4
The digits of 5048 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5048 = 2^{3} \times 631 \]5048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9480 |
| Euler totient φ(n) | 2520 |
| Square | 25482304 |
| Cube | 128634670592 |
| Square root | 71.049279 (= 2√1262) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 41 |
| Scientific notation | 5.048 × |
5048 in other forms
| Form | Value |
|---|---|
| In words | five thousand and forty-eight |
| Binary (base 2) | 1001110111000 |
| Octal (base 8) | 11670 |
| Hexadecimal (base 16) | 13B8 |
| Base 3 | 20220222 |
| As time | 5048 seconds = 1 h 24 min 8 s |
Is 5048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5048 ÷ 2 = 2524) | 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 (5048 ÷ 4 = 1262) | 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 1) | 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 (5048 ÷ 8 = 631) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 5048 a prime number?
No. 5048 = × 631, so it is divisible by 2.
What are the factors of 5048?
1, 2, 4, 8, 631, 1262, 2524, 5048.
What is 5048 in binary?
1001110111000 (hexadecimal 13B8, octal 11670).
What is the square root of 5048?
About 71.0493, exactly 2√1262.
Is 5048 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 5048?
It is a composite number with 8 divisors.