The number 48404
48404 is a composite number with 6 divisors. Its prime factorisation is × 12101. Divisors (6): 1, 2, 4, 12101, 24202, 48404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48404 is composite. Its prime factorisation is
- 3
The divisors add up to 84714; without 48404 itself that is 36310, so 48404 is deficient (36310 is less than 48404). Euler's totient φ(48404) = 24200 numbers up to 48404 share no factor with it.
- 4
The digits of 48404 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
\[ 48404 = 2^{2} \times 12101 \]48404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 84714 |
| Euler totient φ(n) | 24200 |
| Square | 2342947216 |
| Cube | 113408017043264 |
| Square root | 220.009091 (= 2√12101) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8404 × |
48404 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and four |
| Binary (base 2) | 1011110100010100 |
| Octal (base 8) | 136424 |
| Hexadecimal (base 16) | BD14 |
| Base 3 | 2110101202 |
| As time | 48404 seconds = 13 h 26 min 44 s |
Is 48404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48404 ÷ 2 = 24202) | 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 (48404 ÷ 4 = 12101) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | 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 | No (remainder 4) | 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 48404 a prime number?
No. 48404 = × 12101, so it is divisible by 2.
What are the factors of 48404?
1, 2, 4, 12101, 24202, 48404.
What is 48404 in binary?
1011110100010100 (hexadecimal BD14, octal 136424).
What is the square root of 48404?
About 220.0091, exactly 2√12101.
Is 48404 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48404?
It is a composite number with 6 divisors.