The number 48860
48860 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 349. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 349, 698, 1396, 1745 … 48860.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48860 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48860 is composite. Its prime factorisation is
- 3
The divisors add up to 117600; without 48860 itself that is 68740, so 48860 is abundant (68740 is more than 48860). Euler's totient φ(48860) = 16704 numbers up to 48860 share no factor with it.
- 4
The digits of 48860 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
\[ 48860 = 2^{2} \times 5 \times 7 \times 349 \]48860 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 117600 |
| Euler totient φ(n) | 16704 |
| Square | 2387299600 |
| Cube | 116643458456000 |
| Square root | 221.042982 (= 2√12215) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.886 × |
48860 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and sixty |
| Binary (base 2) | 1011111011011100 |
| Octal (base 8) | 137334 |
| Hexadecimal (base 16) | BEDC |
| Base 3 | 2111000122 |
| As time | 48860 seconds = 13 h 34 min 20 s |
Is 48860 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48860 ÷ 2 = 24430) | 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 (48860 ÷ 4 = 12215) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48860 ÷ 5 = 9772) | 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 (48860 ÷ 7 = 6980) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (48860 ÷ 10 = 4886) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 48860 a prime number?
No. 48860 = × 5 × 7 × 349, so it is divisible by 2.
What are the factors of 48860?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 349, 698, 1396, 1745, 2443, 3490, 4886, 6980, 9772, 12215, 24430, 48860.
What is 48860 in binary?
1011111011011100 (hexadecimal BEDC, octal 137334).
What is the square root of 48860?
About 221.0430, exactly 2√12215.
Is 48860 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48860?
It is a composite number with 24 divisors.