The number 48688
48688 is a composite number with 20 divisors. Its prime factorisation is × 17 × 179. Divisors (20): 1, 2, 4, 8, 16, 17, 34, 68, 136, 179, 272, 358, 716, 1432, 2864, 3043 … 48688.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48688: a Harshad number: divisible by its digit sum 34.
- 2
48688 is composite. Its prime factorisation is
- 3
The divisors add up to 100440; without 48688 itself that is 51752, so 48688 is abundant (51752 is more than 48688). Euler's totient φ(48688) = 22784 numbers up to 48688 share no factor with it.
- 4
The digits of 48688 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48688 = 2^{4} \times 17 \times 179 \]48688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 100440 |
| Euler totient φ(n) | 22784 |
| Square | 2370521344 |
| Cube | 115415943196672 |
| Square root | 220.653575 (= 4√3043) |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.8688 × |
48688 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and eighty-eight |
| Binary (base 2) | 1011111000110000 |
| Octal (base 8) | 137060 |
| Hexadecimal (base 16) | BE30 |
| Base 3 | 2110210021 |
| As time | 48688 seconds = 13 h 31 min 28 s |
Is 48688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48688 ÷ 2 = 24344) | 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 (48688 ÷ 4 = 12172) | 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 4) | 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 (48688 ÷ 8 = 6086) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 48688 a prime number?
No. 48688 = × 17 × 179, so it is divisible by 2.
What are the factors of 48688?
1, 2, 4, 8, 16, 17, 34, 68, 136, 179, 272, 358, 716, 1432, 2864, 3043, 6086, 12172, 24344, 48688.
What is 48688 in binary?
1011111000110000 (hexadecimal BE30, octal 137060).
What is the square root of 48688?
About 220.6536, exactly 4√3043.
Is 48688 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 48688?
48688 is a Harshad number: divisible by its digit sum 34.