The number 48608
48608 is a composite number with 36 divisors. Its prime factorisation is × × 31. Divisors (36): 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 98, 112, 124 … 48608.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48608 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48608 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 48608 itself that is 66304, so 48608 is abundant (66304 is more than 48608). Euler's totient φ(48608) = 20160 numbers up to 48608 share no factor with it.
- 4
The digits of 48608 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48608 = 2^{5} \times 7^{2} \times 31 \]48608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 20160 |
| Square | 2362737664 |
| Cube | 114847952371712 |
| Square root | 220.472220 (= 28√62) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8608 × |
48608 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and eight |
| Binary (base 2) | 1011110111100000 |
| Octal (base 8) | 136740 |
| Hexadecimal (base 16) | BDE0 |
| Base 3 | 2110200022 |
| As time | 48608 seconds = 13 h 30 min 8 s |
Is 48608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48608 ÷ 2 = 24304) | 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 (48608 ÷ 4 = 12152) | 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 | Yes (48608 ÷ 7 = 6944) | 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 (48608 ÷ 8 = 6076) | 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 48608 a prime number?
No. 48608 = × × 31, so it is divisible by 2.
What are the factors of 48608?
1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 49, 56, 62, 98, 112, 124, 196, 217, 224, 248, 392, 434, 496, 784, 868, 992, 1519, 1568, 1736, 3038, 3472, 6076, 6944, 12152, 24304, 48608.
What is 48608 in binary?
1011110111100000 (hexadecimal BDE0, octal 136740).
What is the square root of 48608?
About 220.4722, exactly 28√62.
Is 48608 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48608?
It is a composite number with 36 divisors.