The number 48126
48126 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 13 × 617. Divisors (16): 1, 2, 3, 6, 13, 26, 39, 78, 617, 1234, 1851, 3702, 8021, 16042, 24063, 48126.
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How to work it out
- 1
48126 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48126 is composite. Its prime factorisation is
- 3
The divisors add up to 103824; without 48126 itself that is 55698, so 48126 is abundant (55698 is more than 48126). Euler's totient φ(48126) = 14784 numbers up to 48126 share no factor with it.
- 4
The digits of 48126 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48126 = 2 \times 3 \times 13 \times 617 \]
48126 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 103824 |
| Euler totient φ(n) | 14784 |
| Square | 2316111876 |
| Cube | 111465200144376 |
| Square root | 219.376389 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.8126 × |
48126 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and twenty-six |
| Binary (base 2) | 1011101111111110 |
| Octal (base 8) | 135776 |
| Hexadecimal (base 16) | BBFE |
| Base 3 | 2110000110 |
| As time | 48126 seconds = 13 h 22 min 6 s |
Is 48126 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48126 ÷ 2 = 24063) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48126 ÷ 3 = 16042) | 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 (48126 ÷ 6 = 8021) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | 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 48126 a prime number?
No. 48126 = 2 × 3 × 13 × 617, so it is divisible by 2.
What are the factors of 48126?
1, 2, 3, 6, 13, 26, 39, 78, 617, 1234, 1851, 3702, 8021, 16042, 24063, 48126.
What is 48126 in binary?
1011101111111110 (hexadecimal BBFE, octal 135776).
What is the square root of 48126?
About 219.3764.
Is 48126 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48126?
It is a composite number with 16 divisors.