The number 48704
48704 is a composite number with 14 divisors. Its prime factorisation is × 761. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 761, 1522, 3044, 6088, 12176, 24352, 48704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48704 is composite. Its prime factorisation is
- 3
The divisors add up to 96774; without 48704 itself that is 48070, so 48704 is deficient (48070 is less than 48704). Euler's totient φ(48704) = 24320 numbers up to 48704 share no factor with it.
- 4
The digits of 48704 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48704 = 2^{6} \times 761 \]48704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 96774 |
| Euler totient φ(n) | 24320 |
| Square | 2372079616 |
| Cube | 115529765617664 |
| Square root | 220.689828 (= 8√761) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8704 × |
48704 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and four |
| Binary (base 2) | 1011111001000000 |
| Octal (base 8) | 137100 |
| Hexadecimal (base 16) | BE40 |
| Base 3 | 2110210212 |
| As time | 48704 seconds = 13 h 31 min 44 s |
Is 48704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48704 ÷ 2 = 24352) | 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 (48704 ÷ 4 = 12176) | 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 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 (48704 ÷ 8 = 6088) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 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 48704 a prime number?
No. 48704 = × 761, so it is divisible by 2.
What are the factors of 48704?
1, 2, 4, 8, 16, 32, 64, 761, 1522, 3044, 6088, 12176, 24352, 48704.
What is 48704 in binary?
1011111001000000 (hexadecimal BE40, octal 137100).
What is the square root of 48704?
About 220.6898, exactly 8√761.
Is 48704 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 48704?
It is a composite number with 14 divisors.