The number 48726
48726 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2707. Divisors (12): 1, 2, 3, 6, 9, 18, 2707, 5414, 8121, 16242, 24363, 48726.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48726 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48726 is composite. Its prime factorisation is
- 3
The divisors add up to 105612; without 48726 itself that is 56886, so 48726 is abundant (56886 is more than 48726). Euler's totient φ(48726) = 16236 numbers up to 48726 share no factor with it.
- 4
The digits of 48726 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48726 = 2 \times 3^{2} \times 2707 \]48726 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 105612 |
| Euler totient φ(n) | 16236 |
| Square | 2374223076 |
| Cube | 115686393601176 |
| Square root | 220.739666 (= 3√5414) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 65 |
| Scientific notation | 4.8726 × |
48726 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand seven hundred and twenty-six |
| Binary (base 2) | 1011111001010110 |
| Octal (base 8) | 137126 |
| Hexadecimal (base 16) | BE56 |
| Base 3 | 2110211200 |
| As time | 48726 seconds = 13 h 32 min 6 s |
Is 48726 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48726 ÷ 2 = 24363) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48726 ÷ 3 = 16242) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48726 ÷ 6 = 8121) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48726 ÷ 9 = 5414) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48726 a prime number?
No. 48726 = 2 × × 2707, so it is divisible by 2.
What are the factors of 48726?
1, 2, 3, 6, 9, 18, 2707, 5414, 8121, 16242, 24363, 48726.
What is 48726 in binary?
1011111001010110 (hexadecimal BE56, octal 137126).
What is the square root of 48726?
About 220.7397, exactly 3√5414.
Is 48726 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48726?
It is a composite number with 12 divisors.