The number 80048
80048 is a composite number with 10 divisors. Its prime factorisation is × 5003. Divisors (10): 1, 2, 4, 8, 16, 5003, 10006, 20012, 40024, 80048.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80048 is composite. Its prime factorisation is
- 3
The divisors add up to 155124; without 80048 itself that is 75076, so 80048 is deficient (75076 is less than 80048). Euler's totient φ(80048) = 40016 numbers up to 80048 share no factor with it.
- 4
The digits of 80048 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 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80048 = 2^{4} \times 5003 \]80048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 155124 |
| Euler totient φ(n) | 40016 |
| Square | 6407682304 |
| Cube | 512922153070592 |
| Square root | 282.927553 (= 4√5003) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0048 × |
80048 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand and forty-eight |
| Binary (base 2) | 10011100010110000 |
| Octal (base 8) | 234260 |
| Hexadecimal (base 16) | 138B0 |
| Base 3 | 11001210202 |
| As time | 80048 seconds = 22 h 14 min 8 s |
Is 80048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80048 ÷ 2 = 40024) | 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 (80048 ÷ 4 = 20012) | 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 3) | 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 (80048 ÷ 8 = 10006) | 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 1) | 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 80048 a prime number?
No. 80048 = × 5003, so it is divisible by 2.
What are the factors of 80048?
1, 2, 4, 8, 16, 5003, 10006, 20012, 40024, 80048.
What is 80048 in binary?
10011100010110000 (hexadecimal 138B0, octal 234260).
What is the square root of 80048?
About 282.9276, exactly 4√5003.
Is 80048 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 80048?
It is a composite number with 10 divisors.