The number 48004
48004 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1091. Divisors (12): 1, 2, 4, 11, 22, 44, 1091, 2182, 4364, 12001, 24002, 48004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48004 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 48004 itself that is 43724, so 48004 is deficient (43724 is less than 48004). Euler's totient φ(48004) = 21800 numbers up to 48004 share no factor with it.
- 4
The digits of 48004 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48004 = 2^{2} \times 11 \times 1091 \]48004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 21800 |
| Square | 2304384016 |
| Cube | 110619650304064 |
| Square root | 219.098152 (= 2√12001) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8004 × |
48004 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and four |
| Binary (base 2) | 1011101110000100 |
| Octal (base 8) | 135604 |
| Hexadecimal (base 16) | BB84 |
| Base 3 | 2102211221 |
| As time | 48004 seconds = 13 h 20 min 4 s |
Is 48004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48004 ÷ 2 = 24002) | 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 (48004 ÷ 4 = 12001) | 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 4) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (48004 ÷ 11 = 4364) | 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 48004 a prime number?
No. 48004 = × 11 × 1091, so it is divisible by 2.
What are the factors of 48004?
1, 2, 4, 11, 22, 44, 1091, 2182, 4364, 12001, 24002, 48004.
What is 48004 in binary?
1011101110000100 (hexadecimal BB84, octal 135604).
What is the square root of 48004?
About 219.0982, exactly 2√12001.
Is 48004 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 48004?
It is a composite number with 12 divisors.