The number 48076
48076 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 101. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 101, 119, 202, 238, 404, 476, 707 … 48076.
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How to work it out
- 1
48076 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48076 is composite. Its prime factorisation is
- 3
The divisors add up to 102816; without 48076 itself that is 54740, so 48076 is abundant (54740 is more than 48076). Euler's totient φ(48076) = 19200 numbers up to 48076 share no factor with it.
- 4
The digits of 48076 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48076 = 2^{2} \times 7 \times 17 \times 101 \]48076 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102816 |
| Euler totient φ(n) | 19200 |
| Square | 2311301776 |
| Cube | 111118144182976 |
| Square root | 219.262400 (= 2√12019) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8076 × |
48076 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and seventy-six |
| Binary (base 2) | 1011101111001100 |
| Octal (base 8) | 135714 |
| Hexadecimal (base 16) | BBCC |
| Base 3 | 2102221121 |
| As time | 48076 seconds = 13 h 21 min 16 s |
Is 48076 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48076 ÷ 2 = 24038) | 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 (48076 ÷ 4 = 12019) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48076 ÷ 7 = 6868) | 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 7) | 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 6) | 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 48076 a prime number?
No. 48076 = × 7 × 17 × 101, so it is divisible by 2.
What are the factors of 48076?
1, 2, 4, 7, 14, 17, 28, 34, 68, 101, 119, 202, 238, 404, 476, 707, 1414, 1717, 2828, 3434, 6868, 12019, 24038, 48076.
What is 48076 in binary?
1011101111001100 (hexadecimal BBCC, octal 135714).
What is the square root of 48076?
About 219.2624, exactly 2√12019.
Is 48076 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48076?
It is a composite number with 24 divisors.