The number 4876
4876 is a composite number with 12 divisors. Its prime factorisation is × 23 × 53. Divisors (12): 1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4876 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4876 is composite. Its prime factorisation is
- 3
The divisors add up to 9072; without 4876 itself that is 4196, so 4876 is deficient (4196 is less than 4876). Euler's totient φ(4876) = 2288 numbers up to 4876 share no factor with it.
- 4
The digits of 4876 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 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4876 = 2^{2} \times 23 \times 53 \]4876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 9072 |
| Euler totient φ(n) | 2288 |
| Square | 23775376 |
| Cube | 115928733376 |
| Square root | 69.828361 (= 2√1219) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 134 |
| Scientific notation | 4.876 × |
4876 in other forms
| Form | Value |
|---|---|
| In words | four thousand eight hundred and seventy-six |
| Binary (base 2) | 1001100001100 |
| Octal (base 8) | 11414 |
| Hexadecimal (base 16) | 130C |
| Base 3 | 20200121 |
| As time | 4876 seconds = 1 h 21 min 16 s |
Is 4876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4876 ÷ 2 = 2438) | 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 (4876 ÷ 4 = 1219) | 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 | No (remainder 4) | 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 3) | 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 4876 a prime number?
No. 4876 = × 23 × 53, so it is divisible by 2.
What are the factors of 4876?
1, 2, 4, 23, 46, 53, 92, 106, 212, 1219, 2438, 4876.
What is 4876 in binary?
1001100001100 (hexadecimal 130C, octal 11414).
What is the square root of 4876?
About 69.8284, exactly 2√1219.
Is 4876 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 4876?
It is a composite number with 12 divisors.