The number 48680
48680 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1217. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1217, 2434, 4868, 6085, 9736, 12170, 24340, 48680.
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How to work it out
- 1
48680 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48680 is composite. Its prime factorisation is
- 3
The divisors add up to 109620; without 48680 itself that is 60940, so 48680 is abundant (60940 is more than 48680). Euler's totient φ(48680) = 19456 numbers up to 48680 share no factor with it.
- 4
The digits of 48680 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48680 = 2^{3} \times 5 \times 1217 \]48680 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 109620 |
| Euler totient φ(n) | 19456 |
| Square | 2369742400 |
| Cube | 115359060032000 |
| Square root | 220.635446 (= 2√12170) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.868 × |
48680 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand six hundred and eighty |
| Binary (base 2) | 1011111000101000 |
| Octal (base 8) | 137050 |
| Hexadecimal (base 16) | BE28 |
| Base 3 | 2110202222 |
| As time | 48680 seconds = 13 h 31 min 20 s |
Is 48680 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48680 ÷ 2 = 24340) | 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 (48680 ÷ 4 = 12170) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48680 ÷ 5 = 9736) | 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 2) | 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 (48680 ÷ 8 = 6085) | 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 | Yes (48680 ÷ 10 = 4868) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 48680 a prime number?
No. 48680 = × 5 × 1217, so it is divisible by 2.
What are the factors of 48680?
1, 2, 4, 5, 8, 10, 20, 40, 1217, 2434, 4868, 6085, 9736, 12170, 24340, 48680.
What is 48680 in binary?
1011111000101000 (hexadecimal BE28, octal 137050).
What is the square root of 48680?
About 220.6354, exactly 2√12170.
Is 48680 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48680?
It is a composite number with 16 divisors.