The number 48876
48876 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4073. Divisors (12): 1, 2, 3, 4, 6, 12, 4073, 8146, 12219, 16292, 24438, 48876.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48876 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48876 is composite. Its prime factorisation is
- 3
The divisors add up to 114072; without 48876 itself that is 65196, so 48876 is abundant (65196 is more than 48876). Euler's totient φ(48876) = 16288 numbers up to 48876 share no factor with it.
- 4
The digits of 48876 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48876 = 2^{2} \times 3 \times 4073 \]48876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 114072 |
| Euler totient φ(n) | 16288 |
| Square | 2388863376 |
| Cube | 116758086365376 |
| Square root | 221.079171 (= 2√12219) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.8876 × |
48876 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and seventy-six |
| Binary (base 2) | 1011111011101100 |
| Octal (base 8) | 137354 |
| Hexadecimal (base 16) | BEEC |
| Base 3 | 2111001020 |
| As time | 48876 seconds = 13 h 34 min 36 s |
Is 48876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48876 ÷ 2 = 24438) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48876 ÷ 3 = 16292) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48876 ÷ 4 = 12219) | 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 (48876 ÷ 6 = 8146) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48876 ÷ 12 = 4073) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48876 a prime number?
No. 48876 = × 3 × 4073, so it is divisible by 2.
What are the factors of 48876?
1, 2, 3, 4, 6, 12, 4073, 8146, 12219, 16292, 24438, 48876.
What is 48876 in binary?
1011111011101100 (hexadecimal BEEC, octal 137354).
What is the square root of 48876?
About 221.0792, exactly 2√12219.
Is 48876 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 48876?
It is a composite number with 12 divisors.